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Simplifying 1.5 = 2n + -0.5(6n + -1) Reorder the terms: 1.5 = 2n + -0.5(-1 + 6n) 1.5 = 2n + (-1 * -0.5 + 6n * -0.5) 1.5 = 2n + (0.5 + -3n) Reorder the terms: 1.5 = 0.5 + 2n + -3n Combine like terms: 2n + -3n = -1n 1.5 = 0.5 + -1n Solving 1.5 = 0.5 + -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. 1.5 + n = 0.5 + -1n + n Combine like terms: -1n + n = 0 1.5 + n = 0.5 + 0 1.5 + n = 0.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + n = 0.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + n = 0.5 + -1.5 n = 0.5 + -1.5 Combine like terms: 0.5 + -1.5 = -1 n = -1 Simplifying n = -1
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