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Simplifying 114 + -1(7 + 2n) = 61 114 + (7 * -1 + 2n * -1) = 61 114 + (-7 + -2n) = 61 Combine like terms: 114 + -7 = 107 107 + -2n = 61 Solving 107 + -2n = 61 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-107' to each side of the equation. 107 + -107 + -2n = 61 + -107 Combine like terms: 107 + -107 = 0 0 + -2n = 61 + -107 -2n = 61 + -107 Combine like terms: 61 + -107 = -46 -2n = -46 Divide each side by '-2'. n = 23 Simplifying n = 23
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