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Simplifying -29 + 7n = -7 + 3(6 + 5n) -29 + 7n = -7 + (6 * 3 + 5n * 3) -29 + 7n = -7 + (18 + 15n) Combine like terms: -7 + 18 = 11 -29 + 7n = 11 + 15n Solving -29 + 7n = 11 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -29 + 7n + -15n = 11 + 15n + -15n Combine like terms: 7n + -15n = -8n -29 + -8n = 11 + 15n + -15n Combine like terms: 15n + -15n = 0 -29 + -8n = 11 + 0 -29 + -8n = 11 Add '29' to each side of the equation. -29 + 29 + -8n = 11 + 29 Combine like terms: -29 + 29 = 0 0 + -8n = 11 + 29 -8n = 11 + 29 Combine like terms: 11 + 29 = 40 -8n = 40 Divide each side by '-8'. n = -5 Simplifying n = -5
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