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Simplifying -102 = -3(-5n + -6) Reorder the terms: -102 = -3(-6 + -5n) -102 = (-6 * -3 + -5n * -3) -102 = (18 + 15n) Solving -102 = 18 + 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. -102 + -15n = 18 + 15n + -15n Combine like terms: 15n + -15n = 0 -102 + -15n = 18 + 0 -102 + -15n = 18 Add '102' to each side of the equation. -102 + 102 + -15n = 18 + 102 Combine like terms: -102 + 102 = 0 0 + -15n = 18 + 102 -15n = 18 + 102 Combine like terms: 18 + 102 = 120 -15n = 120 Divide each side by '-15'. n = -8 Simplifying n = -8
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