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Simplifying 7 + -1(2n + -6) = 1 + -3n Reorder the terms: 7 + -1(-6 + 2n) = 1 + -3n 7 + (-6 * -1 + 2n * -1) = 1 + -3n 7 + (6 + -2n) = 1 + -3n Combine like terms: 7 + 6 = 13 13 + -2n = 1 + -3n Solving 13 + -2n = 1 + -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. 13 + -2n + 3n = 1 + -3n + 3n Combine like terms: -2n + 3n = 1n 13 + 1n = 1 + -3n + 3n Combine like terms: -3n + 3n = 0 13 + 1n = 1 + 0 13 + 1n = 1 Add '-13' to each side of the equation. 13 + -13 + 1n = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 1n = 1 + -13 1n = 1 + -13 Combine like terms: 1 + -13 = -12 1n = -12 Divide each side by '1'. n = -12 Simplifying n = -12
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