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Simplifying 4(2n + -3) = 7(n + 3) Reorder the terms: 4(-3 + 2n) = 7(n + 3) (-3 * 4 + 2n * 4) = 7(n + 3) (-12 + 8n) = 7(n + 3) Reorder the terms: -12 + 8n = 7(3 + n) -12 + 8n = (3 * 7 + n * 7) -12 + 8n = (21 + 7n) Solving -12 + 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. -12 + 8n + -7n = 21 + 7n + -7n Combine like terms: 8n + -7n = 1n -12 + 1n = 21 + 7n + -7n Combine like terms: 7n + -7n = 0 -12 + 1n = 21 + 0 -12 + 1n = 21 Add '12' to each side of the equation. -12 + 12 + 1n = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 1n = 21 + 12 1n = 21 + 12 Combine like terms: 21 + 12 = 33 1n = 33 Divide each side by '1'. n = 33 Simplifying n = 33
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