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Simplifying 10 = 2(n + -7) + -1(-8) Reorder the terms: 10 = 2(-7 + n) + -1(-8) 10 = (-7 * 2 + n * 2) + -1(-8) 10 = (-14 + 2n) + -1(-8) Multiply -1 * -8 10 = -14 + 2n + 8 Reorder the terms: 10 = -14 + 8 + 2n Combine like terms: -14 + 8 = -6 10 = -6 + 2n Solving 10 = -6 + 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. 10 + -2n = -6 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + -2n = -6 + 0 10 + -2n = -6 Add '-10' to each side of the equation. 10 + -10 + -2n = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = -6 + -10 -2n = -6 + -10 Combine like terms: -6 + -10 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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