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Simplifying -3(1 + -1n) + 3(4n + -4) = 15 (1 * -3 + -1n * -3) + 3(4n + -4) = 15 (-3 + 3n) + 3(4n + -4) = 15 Reorder the terms: -3 + 3n + 3(-4 + 4n) = 15 -3 + 3n + (-4 * 3 + 4n * 3) = 15 -3 + 3n + (-12 + 12n) = 15 Reorder the terms: -3 + -12 + 3n + 12n = 15 Combine like terms: -3 + -12 = -15 -15 + 3n + 12n = 15 Combine like terms: 3n + 12n = 15n -15 + 15n = 15 Solving -15 + 15n = 15 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 15n = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 15n = 15 + 15 15n = 15 + 15 Combine like terms: 15 + 15 = 30 15n = 30 Divide each side by '15'. n = 2 Simplifying n = 2
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