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Simplifying 8(5 + -3n) = -1n + -29 (5 * 8 + -3n * 8) = -1n + -29 (40 + -24n) = -1n + -29 Reorder the terms: 40 + -24n = -29 + -1n Solving 40 + -24n = -29 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 40 + -24n + n = -29 + -1n + n Combine like terms: -24n + n = -23n 40 + -23n = -29 + -1n + n Combine like terms: -1n + n = 0 40 + -23n = -29 + 0 40 + -23n = -29 Add '-40' to each side of the equation. 40 + -40 + -23n = -29 + -40 Combine like terms: 40 + -40 = 0 0 + -23n = -29 + -40 -23n = -29 + -40 Combine like terms: -29 + -40 = -69 -23n = -69 Divide each side by '-23'. n = 3 Simplifying n = 3
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