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Simplifying -7n + -30 = 2(n + -6) Reorder the terms: -30 + -7n = 2(n + -6) Reorder the terms: -30 + -7n = 2(-6 + n) -30 + -7n = (-6 * 2 + n * 2) -30 + -7n = (-12 + 2n) Solving -30 + -7n = -12 + 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. -30 + -7n + -2n = -12 + 2n + -2n Combine like terms: -7n + -2n = -9n -30 + -9n = -12 + 2n + -2n Combine like terms: 2n + -2n = 0 -30 + -9n = -12 + 0 -30 + -9n = -12 Add '30' to each side of the equation. -30 + 30 + -9n = -12 + 30 Combine like terms: -30 + 30 = 0 0 + -9n = -12 + 30 -9n = -12 + 30 Combine like terms: -12 + 30 = 18 -9n = 18 Divide each side by '-9'. n = -2 Simplifying n = -2
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