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Simplifying 4(2n + -4) = 7(n + 3) Reorder the terms: 4(-4 + 2n) = 7(n + 3) (-4 * 4 + 2n * 4) = 7(n + 3) (-16 + 8n) = 7(n + 3) Reorder the terms: -16 + 8n = 7(3 + n) -16 + 8n = (3 * 7 + n * 7) -16 + 8n = (21 + 7n) Solving -16 + 8n = 21 + 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. -16 + 8n + -7n = 21 + 7n + -7n Combine like terms: 8n + -7n = 1n -16 + 1n = 21 + 7n + -7n Combine like terms: 7n + -7n = 0 -16 + 1n = 21 + 0 -16 + 1n = 21 Add '16' to each side of the equation. -16 + 16 + 1n = 21 + 16 Combine like terms: -16 + 16 = 0 0 + 1n = 21 + 16 1n = 21 + 16 Combine like terms: 21 + 16 = 37 1n = 37 Divide each side by '1'. n = 37 Simplifying n = 37
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