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Simplifying -107 = -2(1 + -7n) + n -107 = (1 * -2 + -7n * -2) + n -107 = (-2 + 14n) + n Combine like terms: 14n + n = 15n -107 = -2 + 15n Solving -107 = -2 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -107 + -15n = -2 + 15n + -15n Combine like terms: 15n + -15n = 0 -107 + -15n = -2 + 0 -107 + -15n = -2 Add '107' to each side of the equation. -107 + 107 + -15n = -2 + 107 Combine like terms: -107 + 107 = 0 0 + -15n = -2 + 107 -15n = -2 + 107 Combine like terms: -2 + 107 = 105 -15n = 105 Divide each side by '-15'. n = -7 Simplifying n = -7
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