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Simplifying 0.5(5n + 15) = 2.9 + -1(n + 3) Reorder the terms: 0.5(15 + 5n) = 2.9 + -1(n + 3) (15 * 0.5 + 5n * 0.5) = 2.9 + -1(n + 3) (7.5 + 2.5n) = 2.9 + -1(n + 3) Reorder the terms: 7.5 + 2.5n = 2.9 + -1(3 + n) 7.5 + 2.5n = 2.9 + (3 * -1 + n * -1) 7.5 + 2.5n = 2.9 + (-3 + -1n) Combine like terms: 2.9 + -3 = -0.1 7.5 + 2.5n = -0.1 + -1n Solving 7.5 + 2.5n = -0.1 + -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. 7.5 + 2.5n + n = -0.1 + -1n + n Combine like terms: 2.5n + n = 3.5n 7.5 + 3.5n = -0.1 + -1n + n Combine like terms: -1n + n = 0 7.5 + 3.5n = -0.1 + 0 7.5 + 3.5n = -0.1 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 3.5n = -0.1 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 3.5n = -0.1 + -7.5 3.5n = -0.1 + -7.5 Combine like terms: -0.1 + -7.5 = -7.6 3.5n = -7.6 Divide each side by '3.5'. n = -2.171428571 Simplifying n = -2.171428571
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