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Use the drop-down menus to choose the steps in order to correctly solve [tex]$3 + 4d - 14 = 15 - 5d - 4d$[/tex] for [tex]$d$[/tex].
Starting with the given equation: [tex]\[ 3 + 4d - 14 = 15 - 5d - 4d \][/tex]
Step 1: Combine like terms on the right side: [tex]\[ 3 + 4d - 14 = 15 - 9d \][/tex]
Step 2: Simplify the constants on the left side: [tex]\[ 4d - 11 = 15 - 9d \][/tex]
Step 3: Add [tex]\(9d\)[/tex] to both sides to move [tex]\(-9d\)[/tex] to the left side: [tex]\[ 4d + 9d - 11 = 15 \][/tex] [tex]\[ 13d - 11 = 15 \][/tex]
Step 4: Add [tex]\(11\)[/tex] to both sides to isolate the term with [tex]\(d\)[/tex]: [tex]\[ 13d - 11 + 11 = 15 + 11 \][/tex] [tex]\[ 13d = 26 \][/tex]
Step 5: Finally, divide both sides by [tex]\(13\)[/tex] to solve for [tex]\(d\)[/tex]: [tex]\[ d = \frac{26}{13} \][/tex] [tex]\[ d = 2 \][/tex]
So, the value of [tex]\(d\)[/tex] is [tex]\(2\)[/tex].
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