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Simplifying -32 + -5n = 7(n + -8) Reorder the terms: -32 + -5n = 7(-8 + n) -32 + -5n = (-8 * 7 + n * 7) -32 + -5n = (-56 + 7n) Solving -32 + -5n = -56 + 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 + -5n + -7n = -56 + 7n + -7n Combine like terms: -5n + -7n = -12n -32 + -12n = -56 + 7n + -7n Combine like terms: 7n + -7n = 0 -32 + -12n = -56 + 0 -32 + -12n = -56 Add '32' to each side of the equation. -32 + 32 + -12n = -56 + 32 Combine like terms: -32 + 32 = 0 0 + -12n = -56 + 32 -12n = -56 + 32 Combine like terms: -56 + 32 = -24 -12n = -24 Divide each side by '-12'. n = 2 Simplifying n = 2
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