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Simplifying 4(2n + -5) = 7(n + 3) Reorder the terms: 4(-5 + 2n) = 7(n + 3) (-5 * 4 + 2n * 4) = 7(n + 3) (-20 + 8n) = 7(n + 3) Reorder the terms: -20 + 8n = 7(3 + n) -20 + 8n = (3 * 7 + n * 7) -20 + 8n = (21 + 7n) Solving -20 + 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. -20 + 8n + -7n = 21 + 7n + -7n Combine like terms: 8n + -7n = 1n -20 + 1n = 21 + 7n + -7n Combine like terms: 7n + -7n = 0 -20 + 1n = 21 + 0 -20 + 1n = 21 Add '20' to each side of the equation. -20 + 20 + 1n = 21 + 20 Combine like terms: -20 + 20 = 0 0 + 1n = 21 + 20 1n = 21 + 20 Combine like terms: 21 + 20 = 41 1n = 41 Divide each side by '1'. n = 41 Simplifying n = 41
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