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Simplifying -4(3n + -8) = 13 + 7n Reorder the terms: -4(-8 + 3n) = 13 + 7n (-8 * -4 + 3n * -4) = 13 + 7n (32 + -12n) = 13 + 7n Solving 32 + -12n = 13 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 32 + -12n + -7n = 13 + 7n + -7n Combine like terms: -12n + -7n = -19n 32 + -19n = 13 + 7n + -7n Combine like terms: 7n + -7n = 0 32 + -19n = 13 + 0 32 + -19n = 13 Add '-32' to each side of the equation. 32 + -32 + -19n = 13 + -32 Combine like terms: 32 + -32 = 0 0 + -19n = 13 + -32 -19n = 13 + -32 Combine like terms: 13 + -32 = -19 -19n = -19 Divide each side by '-19'. n = 1 Simplifying n = 1
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