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Simplifying -8n + -29 = -7(-3 + -6n) Reorder the terms: -29 + -8n = -7(-3 + -6n) -29 + -8n = (-3 * -7 + -6n * -7) -29 + -8n = (21 + 42n) Solving -29 + -8n = 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. -29 + -8n + -42n = 21 + 42n + -42n Combine like terms: -8n + -42n = -50n -29 + -50n = 21 + 42n + -42n Combine like terms: 42n + -42n = 0 -29 + -50n = 21 + 0 -29 + -50n = 21 Add '29' to each side of the equation. -29 + 29 + -50n = 21 + 29 Combine like terms: -29 + 29 = 0 0 + -50n = 21 + 29 -50n = 21 + 29 Combine like terms: 21 + 29 = 50 -50n = 50 Divide each side by '-50'. n = -1 Simplifying n = -1
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