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Simplifying 3(3n + -4) = 4(2n + -15) Reorder the terms: 3(-4 + 3n) = 4(2n + -15) (-4 * 3 + 3n * 3) = 4(2n + -15) (-12 + 9n) = 4(2n + -15) Reorder the terms: -12 + 9n = 4(-15 + 2n) -12 + 9n = (-15 * 4 + 2n * 4) -12 + 9n = (-60 + 8n) Solving -12 + 9n = -60 + 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. -12 + 9n + -8n = -60 + 8n + -8n Combine like terms: 9n + -8n = 1n -12 + 1n = -60 + 8n + -8n Combine like terms: 8n + -8n = 0 -12 + 1n = -60 + 0 -12 + 1n = -60 Add '12' to each side of the equation. -12 + 12 + 1n = -60 + 12 Combine like terms: -12 + 12 = 0 0 + 1n = -60 + 12 1n = -60 + 12 Combine like terms: -60 + 12 = -48 1n = -48 Divide each side by '1'. n = -48 Simplifying n = -48
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