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Simplifying -4(3n + -2) = 6n + -10 Reorder the terms: -4(-2 + 3n) = 6n + -10 (-2 * -4 + 3n * -4) = 6n + -10 (8 + -12n) = 6n + -10 Reorder the terms: 8 + -12n = -10 + 6n Solving 8 + -12n = -10 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 8 + -12n + -6n = -10 + 6n + -6n Combine like terms: -12n + -6n = -18n 8 + -18n = -10 + 6n + -6n Combine like terms: 6n + -6n = 0 8 + -18n = -10 + 0 8 + -18n = -10 Add '-8' to each side of the equation. 8 + -8 + -18n = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -18n = -10 + -8 -18n = -10 + -8 Combine like terms: -10 + -8 = -18 -18n = -18 Divide each side by '-18'. n = 1 Simplifying n = 1
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