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Simplifying -8(9 + 6n) = -8(1 + 7n) (9 * -8 + 6n * -8) = -8(1 + 7n) (-72 + -48n) = -8(1 + 7n) -72 + -48n = (1 * -8 + 7n * -8) -72 + -48n = (-8 + -56n) Solving -72 + -48n = -8 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. -72 + -48n + 56n = -8 + -56n + 56n Combine like terms: -48n + 56n = 8n -72 + 8n = -8 + -56n + 56n Combine like terms: -56n + 56n = 0 -72 + 8n = -8 + 0 -72 + 8n = -8 Add '72' to each side of the equation. -72 + 72 + 8n = -8 + 72 Combine like terms: -72 + 72 = 0 0 + 8n = -8 + 72 8n = -8 + 72 Combine like terms: -8 + 72 = 64 8n = 64 Divide each side by '8'. n = 8 Simplifying n = 8
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