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Simplifying 6(3 + -6n) = -40 + -7n (3 * 6 + -6n * 6) = -40 + -7n (18 + -36n) = -40 + -7n Solving 18 + -36n = -40 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 18 + -36n + 7n = -40 + -7n + 7n Combine like terms: -36n + 7n = -29n 18 + -29n = -40 + -7n + 7n Combine like terms: -7n + 7n = 0 18 + -29n = -40 + 0 18 + -29n = -40 Add '-18' to each side of the equation. 18 + -18 + -29n = -40 + -18 Combine like terms: 18 + -18 = 0 0 + -29n = -40 + -18 -29n = -40 + -18 Combine like terms: -40 + -18 = -58 -29n = -58 Divide each side by '-29'. n = 2 Simplifying n = 2
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