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Simplifying 29 + 7n = 7(-2 + 6m) + 8n 29 + 7n = (-2 * 7 + 6m * 7) + 8n 29 + 7n = (-14 + 42m) + 8n Solving 29 + 7n = -14 + 42m + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 29 + 7n + -8n = -14 + 42m + 8n + -8n Combine like terms: 7n + -8n = -1n 29 + -1n = -14 + 42m + 8n + -8n Combine like terms: 8n + -8n = 0 29 + -1n = -14 + 42m + 0 29 + -1n = -14 + 42m Add '-29' to each side of the equation. 29 + -29 + -1n = -14 + -29 + 42m Combine like terms: 29 + -29 = 0 0 + -1n = -14 + -29 + 42m -1n = -14 + -29 + 42m Combine like terms: -14 + -29 = -43 -1n = -43 + 42m Divide each side by '-1'. n = 43 + -42m Simplifying n = 43 + -42m
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