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Simplifying 6(3 + 8n) + -3n = -2n + -29 (3 * 6 + 8n * 6) + -3n = -2n + -29 (18 + 48n) + -3n = -2n + -29 Combine like terms: 48n + -3n = 45n 18 + 45n = -2n + -29 Reorder the terms: 18 + 45n = -29 + -2n Solving 18 + 45n = -29 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 18 + 45n + 2n = -29 + -2n + 2n Combine like terms: 45n + 2n = 47n 18 + 47n = -29 + -2n + 2n Combine like terms: -2n + 2n = 0 18 + 47n = -29 + 0 18 + 47n = -29 Add '-18' to each side of the equation. 18 + -18 + 47n = -29 + -18 Combine like terms: 18 + -18 = 0 0 + 47n = -29 + -18 47n = -29 + -18 Combine like terms: -29 + -18 = -47 47n = -47 Divide each side by '47'. n = -1 Simplifying n = -1
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