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Simplifying -5 + -2(1 + n) = -3(n + 1) -5 + (1 * -2 + n * -2) = -3(n + 1) -5 + (-2 + -2n) = -3(n + 1) Combine like terms: -5 + -2 = -7 -7 + -2n = -3(n + 1) Reorder the terms: -7 + -2n = -3(1 + n) -7 + -2n = (1 * -3 + n * -3) -7 + -2n = (-3 + -3n) Solving -7 + -2n = -3 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -7 + -2n + 3n = -3 + -3n + 3n Combine like terms: -2n + 3n = 1n -7 + 1n = -3 + -3n + 3n Combine like terms: -3n + 3n = 0 -7 + 1n = -3 + 0 -7 + 1n = -3 Add '7' to each side of the equation. -7 + 7 + 1n = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 1n = -3 + 7 1n = -3 + 7 Combine like terms: -3 + 7 = 4 1n = 4 Divide each side by '1'. n = 4 Simplifying n = 4
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