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Simplifying 8(2 + -3n) = -18 + -7n (2 * 8 + -3n * 8) = -18 + -7n (16 + -24n) = -18 + -7n Solving 16 + -24n = -18 + -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. 16 + -24n + 7n = -18 + -7n + 7n Combine like terms: -24n + 7n = -17n 16 + -17n = -18 + -7n + 7n Combine like terms: -7n + 7n = 0 16 + -17n = -18 + 0 16 + -17n = -18 Add '-16' to each side of the equation. 16 + -16 + -17n = -18 + -16 Combine like terms: 16 + -16 = 0 0 + -17n = -18 + -16 -17n = -18 + -16 Combine like terms: -18 + -16 = -34 -17n = -34 Divide each side by '-17'. n = 2 Simplifying n = 2
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