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Simplifying 3(2n + -3) = -4(-2n + 3) + -3 Reorder the terms: 3(-3 + 2n) = -4(-2n + 3) + -3 (-3 * 3 + 2n * 3) = -4(-2n + 3) + -3 (-9 + 6n) = -4(-2n + 3) + -3 Reorder the terms: -9 + 6n = -4(3 + -2n) + -3 -9 + 6n = (3 * -4 + -2n * -4) + -3 -9 + 6n = (-12 + 8n) + -3 Reorder the terms: -9 + 6n = -12 + -3 + 8n Combine like terms: -12 + -3 = -15 -9 + 6n = -15 + 8n Solving -9 + 6n = -15 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -9 + 6n + -8n = -15 + 8n + -8n Combine like terms: 6n + -8n = -2n -9 + -2n = -15 + 8n + -8n Combine like terms: 8n + -8n = 0 -9 + -2n = -15 + 0 -9 + -2n = -15 Add '9' to each side of the equation. -9 + 9 + -2n = -15 + 9 Combine like terms: -9 + 9 = 0 0 + -2n = -15 + 9 -2n = -15 + 9 Combine like terms: -15 + 9 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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