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Simplifying -102 = 3(6n + -4) Reorder the terms: -102 = 3(-4 + 6n) -102 = (-4 * 3 + 6n * 3) -102 = (-12 + 18n) Solving -102 = -12 + 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 = -12 + 18n + -18n Combine like terms: 18n + -18n = 0 -102 + -18n = -12 + 0 -102 + -18n = -12 Add '102' to each side of the equation. -102 + 102 + -18n = -12 + 102 Combine like terms: -102 + 102 = 0 0 + -18n = -12 + 102 -18n = -12 + 102 Combine like terms: -12 + 102 = 90 -18n = 90 Divide each side by '-18'. n = -5 Simplifying n = -5
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