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Simplifying 1.5 + 1.5n = -2(-1n + 1) Reorder the terms: 1.5 + 1.5n = -2(1 + -1n) 1.5 + 1.5n = (1 * -2 + -1n * -2) 1.5 + 1.5n = (-2 + 2n) Solving 1.5 + 1.5n = -2 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 1.5 + 1.5n + -2n = -2 + 2n + -2n Combine like terms: 1.5n + -2n = -0.5n 1.5 + -0.5n = -2 + 2n + -2n Combine like terms: 2n + -2n = 0 1.5 + -0.5n = -2 + 0 1.5 + -0.5n = -2 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.5n = -2 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.5n = -2 + -1.5 -0.5n = -2 + -1.5 Combine like terms: -2 + -1.5 = -3.5 -0.5n = -3.5 Divide each side by '-0.5'. n = 7 Simplifying n = 7
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