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Simplifying -4 = -2(5n + -2) + -8(-7n + 1) Reorder the terms: -4 = -2(-2 + 5n) + -8(-7n + 1) -4 = (-2 * -2 + 5n * -2) + -8(-7n + 1) -4 = (4 + -10n) + -8(-7n + 1) Reorder the terms: -4 = 4 + -10n + -8(1 + -7n) -4 = 4 + -10n + (1 * -8 + -7n * -8) -4 = 4 + -10n + (-8 + 56n) Reorder the terms: -4 = 4 + -8 + -10n + 56n Combine like terms: 4 + -8 = -4 -4 = -4 + -10n + 56n Combine like terms: -10n + 56n = 46n -4 = -4 + 46n Add '4' to each side of the equation. -4 + 4 = -4 + 4 + 46n Combine like terms: -4 + 4 = 0 0 = -4 + 4 + 46n Combine like terms: -4 + 4 = 0 0 = 0 + 46n 0 = 46n Solving 0 = 46n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-46n' to each side of the equation. 0 + -46n = 46n + -46n Remove the zero: -46n = 46n + -46n Combine like terms: 46n + -46n = 0 -46n = 0 Divide each side by '-46'. n = 0 Simplifying n = 0
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