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