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Simplifying -6(7n + -1) = -8n + 9(-3n + -4) Reorder the terms: -6(-1 + 7n) = -8n + 9(-3n + -4) (-1 * -6 + 7n * -6) = -8n + 9(-3n + -4) (6 + -42n) = -8n + 9(-3n + -4) Reorder the terms: 6 + -42n = -8n + 9(-4 + -3n) 6 + -42n = -8n + (-4 * 9 + -3n * 9) 6 + -42n = -8n + (-36 + -27n) Reorder the terms: 6 + -42n = -36 + -8n + -27n Combine like terms: -8n + -27n = -35n 6 + -42n = -36 + -35n Solving 6 + -42n = -36 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 6 + -42n + 35n = -36 + -35n + 35n Combine like terms: -42n + 35n = -7n 6 + -7n = -36 + -35n + 35n Combine like terms: -35n + 35n = 0 6 + -7n = -36 + 0 6 + -7n = -36 Add '-6' to each side of the equation. 6 + -6 + -7n = -36 + -6 Combine like terms: 6 + -6 = 0 0 + -7n = -36 + -6 -7n = -36 + -6 Combine like terms: -36 + -6 = -42 -7n = -42 Divide each side by '-7'. n = 6 Simplifying n = 6
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