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Answer:
Simplifying
2n + 4 + 5n = -3n + 2
Reorder the terms:
4 + 2n + 5n = -3n + 2
Combine like terms: 2n + 5n = 7n
4 + 7n = -3n + 2
Reorder the terms:
4 + 7n = 2 + -3n
Solving
4 + 7n = 2 + -3n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '3n' to each side of the equation.
4 + 7n + 3n = 2 + -3n + 3n
Combine like terms: 7n + 3n = 10n
4 + 10n = 2 + -3n + 3n
Combine like terms: -3n + 3n = 0
4 + 10n = 2 + 0
4 + 10n = 2
Add '-4' to each side of the equation.
4 + -4 + 10n = 2 + -4
Combine like terms: 4 + -4 = 0
0 + 10n = 2 + -4
10n = 2 + -4
Combine like terms: 2 + -4 = -2
10n = -2
Divide each side by '10'.
n = -0.2
Simplifying
n = -0.2