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Simplifying -7(n + 10) = -12n + -5(n + -12) Reorder the terms: -7(10 + n) = -12n + -5(n + -12) (10 * -7 + n * -7) = -12n + -5(n + -12) (-70 + -7n) = -12n + -5(n + -12) Reorder the terms: -70 + -7n = -12n + -5(-12 + n) -70 + -7n = -12n + (-12 * -5 + n * -5) -70 + -7n = -12n + (60 + -5n) Reorder the terms: -70 + -7n = 60 + -12n + -5n Combine like terms: -12n + -5n = -17n -70 + -7n = 60 + -17n Solving -70 + -7n = 60 + -17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17n' to each side of the equation. -70 + -7n + 17n = 60 + -17n + 17n Combine like terms: -7n + 17n = 10n -70 + 10n = 60 + -17n + 17n Combine like terms: -17n + 17n = 0 -70 + 10n = 60 + 0 -70 + 10n = 60 Add '70' to each side of the equation. -70 + 70 + 10n = 60 + 70 Combine like terms: -70 + 70 = 0 0 + 10n = 60 + 70 10n = 60 + 70 Combine like terms: 60 + 70 = 130 10n = 130 Divide each side by '10'. n = 13 Simplifying n = 13
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