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Simplifying -36 = -6(-8 + 7n) + 6(-2n + -5) -36 = (-8 * -6 + 7n * -6) + 6(-2n + -5) -36 = (48 + -42n) + 6(-2n + -5) Reorder the terms: -36 = 48 + -42n + 6(-5 + -2n) -36 = 48 + -42n + (-5 * 6 + -2n * 6) -36 = 48 + -42n + (-30 + -12n) Reorder the terms: -36 = 48 + -30 + -42n + -12n Combine like terms: 48 + -30 = 18 -36 = 18 + -42n + -12n Combine like terms: -42n + -12n = -54n -36 = 18 + -54n Solving -36 = 18 + -54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '54n' to each side of the equation. -36 + 54n = 18 + -54n + 54n Combine like terms: -54n + 54n = 0 -36 + 54n = 18 + 0 -36 + 54n = 18 Add '36' to each side of the equation. -36 + 36 + 54n = 18 + 36 Combine like terms: -36 + 36 = 0 0 + 54n = 18 + 36 54n = 18 + 36 Combine like terms: 18 + 36 = 54 54n = 54 Divide each side by '54'. n = 1 Simplifying n = 1
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