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Simplifying 32 + -4n = 7(8n + -4) Reorder the terms: 32 + -4n = 7(-4 + 8n) 32 + -4n = (-4 * 7 + 8n * 7) 32 + -4n = (-28 + 56n) Solving 32 + -4n = -28 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 32 + -4n + -56n = -28 + 56n + -56n Combine like terms: -4n + -56n = -60n 32 + -60n = -28 + 56n + -56n Combine like terms: 56n + -56n = 0 32 + -60n = -28 + 0 32 + -60n = -28 Add '-32' to each side of the equation. 32 + -32 + -60n = -28 + -32 Combine like terms: 32 + -32 = 0 0 + -60n = -28 + -32 -60n = -28 + -32 Combine like terms: -28 + -32 = -60 -60n = -60 Divide each side by '-60'. n = 1 Simplifying n = 1
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