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Simplifying -102 = -6(-7 + 3n) -102 = (-7 * -6 + 3n * -6) -102 = (42 + -18n) Solving -102 = 42 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. -102 + 18n = 42 + -18n + 18n Combine like terms: -18n + 18n = 0 -102 + 18n = 42 + 0 -102 + 18n = 42 Add '102' to each side of the equation. -102 + 102 + 18n = 42 + 102 Combine like terms: -102 + 102 = 0 0 + 18n = 42 + 102 18n = 42 + 102 Combine like terms: 42 + 102 = 144 18n = 144 Divide each side by '18'. n = 8 Simplifying n = 8
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