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Simplifying 10(-2n + 10) + 8 = -6 + -3(5n + -7) Reorder the terms: 10(10 + -2n) + 8 = -6 + -3(5n + -7) (10 * 10 + -2n * 10) + 8 = -6 + -3(5n + -7) (100 + -20n) + 8 = -6 + -3(5n + -7) Reorder the terms: 100 + 8 + -20n = -6 + -3(5n + -7) Combine like terms: 100 + 8 = 108 108 + -20n = -6 + -3(5n + -7) Reorder the terms: 108 + -20n = -6 + -3(-7 + 5n) 108 + -20n = -6 + (-7 * -3 + 5n * -3) 108 + -20n = -6 + (21 + -15n) Combine like terms: -6 + 21 = 15 108 + -20n = 15 + -15n Solving 108 + -20n = 15 + -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. 108 + -20n + 15n = 15 + -15n + 15n Combine like terms: -20n + 15n = -5n 108 + -5n = 15 + -15n + 15n Combine like terms: -15n + 15n = 0 108 + -5n = 15 + 0 108 + -5n = 15 Add '-108' to each side of the equation. 108 + -108 + -5n = 15 + -108 Combine like terms: 108 + -108 = 0 0 + -5n = 15 + -108 -5n = 15 + -108 Combine like terms: 15 + -108 = -93 -5n = -93 Divide each side by '-5'. n = 18.6 Simplifying n = 18.6
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