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Simplifying 1.2d + -0.5(4d + -1) = -0.7(d + -2) Reorder the terms: 1.2d + -0.5(-1 + 4d) = -0.7(d + -2) 1.2d + (-1 * -0.5 + 4d * -0.5) = -0.7(d + -2) 1.2d + (0.5 + -2d) = -0.7(d + -2) Reorder the terms: 0.5 + 1.2d + -2d = -0.7(d + -2) Combine like terms: 1.2d + -2d = -0.8d 0.5 + -0.8d = -0.7(d + -2) Reorder the terms: 0.5 + -0.8d = -0.7(-2 + d) 0.5 + -0.8d = (-2 * -0.7 + d * -0.7) 0.5 + -0.8d = (1.4 + -0.7d) Solving 0.5 + -0.8d = 1.4 + -0.7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '0.7d' to each side of the equation. 0.5 + -0.8d + 0.7d = 1.4 + -0.7d + 0.7d Combine like terms: -0.8d + 0.7d = -0.1d 0.5 + -0.1d = 1.4 + -0.7d + 0.7d Combine like terms: -0.7d + 0.7d = 0.0 0.5 + -0.1d = 1.4 + 0.0 0.5 + -0.1d = 1.4 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.1d = 1.4 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.1d = 1.4 + -0.5 -0.1d = 1.4 + -0.5 Combine like terms: 1.4 + -0.5 = 0.9 -0.1d = 0.9 Divide each side by '-0.1'. d = -9 Simplifying d = -9
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