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Simplifying 5(-2n + -8) = 7n + 3(7n + 12) Reorder the terms: 5(-8 + -2n) = 7n + 3(7n + 12) (-8 * 5 + -2n * 5) = 7n + 3(7n + 12) (-40 + -10n) = 7n + 3(7n + 12) Reorder the terms: -40 + -10n = 7n + 3(12 + 7n) -40 + -10n = 7n + (12 * 3 + 7n * 3) -40 + -10n = 7n + (36 + 21n) Reorder the terms: -40 + -10n = 36 + 7n + 21n Combine like terms: 7n + 21n = 28n -40 + -10n = 36 + 28n Solving -40 + -10n = 36 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -40 + -10n + -28n = 36 + 28n + -28n Combine like terms: -10n + -28n = -38n -40 + -38n = 36 + 28n + -28n Combine like terms: 28n + -28n = 0 -40 + -38n = 36 + 0 -40 + -38n = 36 Add '40' to each side of the equation. -40 + 40 + -38n = 36 + 40 Combine like terms: -40 + 40 = 0 0 + -38n = 36 + 40 -38n = 36 + 40 Combine like terms: 36 + 40 = 76 -38n = 76 Divide each side by '-38'. n = -2 Simplifying n = -2
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