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Simplifying -15 + -6n = -7(6n + -3) Reorder the terms: -15 + -6n = -7(-3 + 6n) -15 + -6n = (-3 * -7 + 6n * -7) -15 + -6n = (21 + -42n) Solving -15 + -6n = 21 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. -15 + -6n + 42n = 21 + -42n + 42n Combine like terms: -6n + 42n = 36n -15 + 36n = 21 + -42n + 42n Combine like terms: -42n + 42n = 0 -15 + 36n = 21 + 0 -15 + 36n = 21 Add '15' to each side of the equation. -15 + 15 + 36n = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 36n = 21 + 15 36n = 21 + 15 Combine like terms: 21 + 15 = 36 36n = 36 Divide each side by '36'. n = 1 Simplifying n = 1
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