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Simplifying 15 + -7(5 + 3) * n = 12 + 2n + 7 Combine like terms: 5 + 3 = 8 15 + -7(8) * n = 12 + 2n + 7 Multiply -7 * 8 15 + -56n = 12 + 2n + 7 Reorder the terms: 15 + -56n = 12 + 7 + 2n Combine like terms: 12 + 7 = 19 15 + -56n = 19 + 2n Solving 15 + -56n = 19 + 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. 15 + -56n + -2n = 19 + 2n + -2n Combine like terms: -56n + -2n = -58n 15 + -58n = 19 + 2n + -2n Combine like terms: 2n + -2n = 0 15 + -58n = 19 + 0 15 + -58n = 19 Add '-15' to each side of the equation. 15 + -15 + -58n = 19 + -15 Combine like terms: 15 + -15 = 0 0 + -58n = 19 + -15 -58n = 19 + -15 Combine like terms: 19 + -15 = 4 -58n = 4 Divide each side by '-58'. n = -0.06896551724 Simplifying n = -0.06896551724
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