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Simplifying -48 = 4(-3 + -6n) + -4(n + 2) -48 = (-3 * 4 + -6n * 4) + -4(n + 2) -48 = (-12 + -24n) + -4(n + 2) Reorder the terms: -48 = -12 + -24n + -4(2 + n) -48 = -12 + -24n + (2 * -4 + n * -4) -48 = -12 + -24n + (-8 + -4n) Reorder the terms: -48 = -12 + -8 + -24n + -4n Combine like terms: -12 + -8 = -20 -48 = -20 + -24n + -4n Combine like terms: -24n + -4n = -28n -48 = -20 + -28n Solving -48 = -20 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. -48 + 28n = -20 + -28n + 28n Combine like terms: -28n + 28n = 0 -48 + 28n = -20 + 0 -48 + 28n = -20 Add '48' to each side of the equation. -48 + 48 + 28n = -20 + 48 Combine like terms: -48 + 48 = 0 0 + 28n = -20 + 48 28n = -20 + 48 Combine like terms: -20 + 48 = 28 28n = 28 Divide each side by '28'. n = 1 Simplifying n = 1
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