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Simplifying 32 + -6n = -8(-2n + 7) Reorder the terms: 32 + -6n = -8(7 + -2n) 32 + -6n = (7 * -8 + -2n * -8) 32 + -6n = (-56 + 16n) Solving 32 + -6n = -56 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 32 + -6n + -16n = -56 + 16n + -16n Combine like terms: -6n + -16n = -22n 32 + -22n = -56 + 16n + -16n Combine like terms: 16n + -16n = 0 32 + -22n = -56 + 0 32 + -22n = -56 Add '-32' to each side of the equation. 32 + -32 + -22n = -56 + -32 Combine like terms: 32 + -32 = 0 0 + -22n = -56 + -32 -22n = -56 + -32 Combine like terms: -56 + -32 = -88 -22n = -88 Divide each side by '-22'. n = 4 Simplifying n = 4
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