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Simplifying 8 + 3(2n + -6) = 4n + -2(10 + -6n) Reorder the terms: 8 + 3(-6 + 2n) = 4n + -2(10 + -6n) 8 + (-6 * 3 + 2n * 3) = 4n + -2(10 + -6n) 8 + (-18 + 6n) = 4n + -2(10 + -6n) Combine like terms: 8 + -18 = -10 -10 + 6n = 4n + -2(10 + -6n) -10 + 6n = 4n + (10 * -2 + -6n * -2) -10 + 6n = 4n + (-20 + 12n) Reorder the terms: -10 + 6n = -20 + 4n + 12n Combine like terms: 4n + 12n = 16n -10 + 6n = -20 + 16n Solving -10 + 6n = -20 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -10 + 6n + -16n = -20 + 16n + -16n Combine like terms: 6n + -16n = -10n -10 + -10n = -20 + 16n + -16n Combine like terms: 16n + -16n = 0 -10 + -10n = -20 + 0 -10 + -10n = -20 Add '10' to each side of the equation. -10 + 10 + -10n = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -10n = -20 + 10 -10n = -20 + 10 Combine like terms: -20 + 10 = -10 -10n = -10 Divide each side by '-10'. n = 1 Simplifying n = 1
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