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Simplifying -7(n + 10) = -12 + -5(n + -12) Reorder the terms: -7(10 + n) = -12 + -5(n + -12) (10 * -7 + n * -7) = -12 + -5(n + -12) (-70 + -7n) = -12 + -5(n + -12) Reorder the terms: -70 + -7n = -12 + -5(-12 + n) -70 + -7n = -12 + (-12 * -5 + n * -5) -70 + -7n = -12 + (60 + -5n) Combine like terms: -12 + 60 = 48 -70 + -7n = 48 + -5n Solving -70 + -7n = 48 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -70 + -7n + 5n = 48 + -5n + 5n Combine like terms: -7n + 5n = -2n -70 + -2n = 48 + -5n + 5n Combine like terms: -5n + 5n = 0 -70 + -2n = 48 + 0 -70 + -2n = 48 Add '70' to each side of the equation. -70 + 70 + -2n = 48 + 70 Combine like terms: -70 + 70 = 0 0 + -2n = 48 + 70 -2n = 48 + 70 Combine like terms: 48 + 70 = 118 -2n = 118 Divide each side by '-2'. n = -59 Simplifying n = -59
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