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Simplifying 2(n + -6) + -2n = -1(7 + n) Reorder the terms: 2(-6 + n) + -2n = -1(7 + n) (-6 * 2 + n * 2) + -2n = -1(7 + n) (-12 + 2n) + -2n = -1(7 + n) Combine like terms: 2n + -2n = 0 -12 + 0 = -1(7 + n) -12 = -1(7 + n) -12 = (7 * -1 + n * -1) -12 = (-7 + -1n) Solving -12 = -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. -12 + n = -7 + -1n + n Combine like terms: -1n + n = 0 -12 + n = -7 + 0 -12 + n = -7 Add '12' to each side of the equation. -12 + 12 + n = -7 + 12 Combine like terms: -12 + 12 = 0 0 + n = -7 + 12 n = -7 + 12 Combine like terms: -7 + 12 = 5 n = 5 Simplifying n = 5
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