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