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Simplifying -4(2n + 3) + 7(n + 2) = 15 Reorder the terms: -4(3 + 2n) + 7(n + 2) = 15 (3 * -4 + 2n * -4) + 7(n + 2) = 15 (-12 + -8n) + 7(n + 2) = 15 Reorder the terms: -12 + -8n + 7(2 + n) = 15 -12 + -8n + (2 * 7 + n * 7) = 15 -12 + -8n + (14 + 7n) = 15 Reorder the terms: -12 + 14 + -8n + 7n = 15 Combine like terms: -12 + 14 = 2 2 + -8n + 7n = 15 Combine like terms: -8n + 7n = -1n 2 + -1n = 15 Solving 2 + -1n = 15 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1n = 15 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 15 + -2 -1n = 15 + -2 Combine like terms: 15 + -2 = 13 -1n = 13 Divide each side by '-1'. n = -13 Simplifying n = -13
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