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Simplifying -12 + 2n = -3 + -7(7 + -1n) -12 + 2n = -3 + (7 * -7 + -1n * -7) -12 + 2n = -3 + (-49 + 7n) Combine like terms: -3 + -49 = -52 -12 + 2n = -52 + 7n Solving -12 + 2n = -52 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -12 + 2n + -7n = -52 + 7n + -7n Combine like terms: 2n + -7n = -5n -12 + -5n = -52 + 7n + -7n Combine like terms: 7n + -7n = 0 -12 + -5n = -52 + 0 -12 + -5n = -52 Add '12' to each side of the equation. -12 + 12 + -5n = -52 + 12 Combine like terms: -12 + 12 = 0 0 + -5n = -52 + 12 -5n = -52 + 12 Combine like terms: -52 + 12 = -40 -5n = -40 Divide each side by '-5'. n = 8 Simplifying n = 8
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