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Simplifying 8(-2x + -4) + 7(n + 6) = -60 Reorder the terms: 8(-4 + -2x) + 7(n + 6) = -60 (-4 * 8 + -2x * 8) + 7(n + 6) = -60 (-32 + -16x) + 7(n + 6) = -60 Reorder the terms: -32 + -16x + 7(6 + n) = -60 -32 + -16x + (6 * 7 + n * 7) = -60 -32 + -16x + (42 + 7n) = -60 Reorder the terms: -32 + 42 + 7n + -16x = -60 Combine like terms: -32 + 42 = 10 10 + 7n + -16x = -60 Solving 10 + 7n + -16x = -60 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 7n + -10 + -16x = -60 + -10 Reorder the terms: 10 + -10 + 7n + -16x = -60 + -10 Combine like terms: 10 + -10 = 0 0 + 7n + -16x = -60 + -10 7n + -16x = -60 + -10 Combine like terms: -60 + -10 = -70 7n + -16x = -70 Add '16x' to each side of the equation. 7n + -16x + 16x = -70 + 16x Combine like terms: -16x + 16x = 0 7n + 0 = -70 + 16x 7n = -70 + 16x Divide each side by '7'. n = -10 + 2.285714286x Simplifying n = -10 + 2.285714286x
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