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Simplifying -64 = 4(-7n + -8) + -1(1 + 3n) Reorder the terms: -64 = 4(-8 + -7n) + -1(1 + 3n) -64 = (-8 * 4 + -7n * 4) + -1(1 + 3n) -64 = (-32 + -28n) + -1(1 + 3n) -64 = -32 + -28n + (1 * -1 + 3n * -1) -64 = -32 + -28n + (-1 + -3n) Reorder the terms: -64 = -32 + -1 + -28n + -3n Combine like terms: -32 + -1 = -33 -64 = -33 + -28n + -3n Combine like terms: -28n + -3n = -31n -64 = -33 + -31n Solving -64 = -33 + -31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31n' to each side of the equation. -64 + 31n = -33 + -31n + 31n Combine like terms: -31n + 31n = 0 -64 + 31n = -33 + 0 -64 + 31n = -33 Add '64' to each side of the equation. -64 + 64 + 31n = -33 + 64 Combine like terms: -64 + 64 = 0 0 + 31n = -33 + 64 31n = -33 + 64 Combine like terms: -33 + 64 = 31 31n = 31 Divide each side by '31'. n = 1 Simplifying n = 1
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