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Simplifying -7 + -8(3 + 2n) = 5(-2n + -5) -7 + (3 * -8 + 2n * -8) = 5(-2n + -5) -7 + (-24 + -16n) = 5(-2n + -5) Combine like terms: -7 + -24 = -31 -31 + -16n = 5(-2n + -5) Reorder the terms: -31 + -16n = 5(-5 + -2n) -31 + -16n = (-5 * 5 + -2n * 5) -31 + -16n = (-25 + -10n) Solving -31 + -16n = -25 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -31 + -16n + 10n = -25 + -10n + 10n Combine like terms: -16n + 10n = -6n -31 + -6n = -25 + -10n + 10n Combine like terms: -10n + 10n = 0 -31 + -6n = -25 + 0 -31 + -6n = -25 Add '31' to each side of the equation. -31 + 31 + -6n = -25 + 31 Combine like terms: -31 + 31 = 0 0 + -6n = -25 + 31 -6n = -25 + 31 Combine like terms: -25 + 31 = 6 -6n = 6 Divide each side by '-6'. n = -1 Simplifying n = -1
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