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Simplifying 12 + -0.3(d + -15) = 0.5(d + -15) Reorder the terms: 12 + -0.3(-15 + d) = 0.5(d + -15) 12 + (-15 * -0.3 + d * -0.3) = 0.5(d + -15) 12 + (4.5 + -0.3d) = 0.5(d + -15) Combine like terms: 12 + 4.5 = 16.5 16.5 + -0.3d = 0.5(d + -15) Reorder the terms: 16.5 + -0.3d = 0.5(-15 + d) 16.5 + -0.3d = (-15 * 0.5 + d * 0.5) 16.5 + -0.3d = (-7.5 + 0.5d) Solving 16.5 + -0.3d = -7.5 + 0.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.5d' to each side of the equation. 16.5 + -0.3d + -0.5d = -7.5 + 0.5d + -0.5d Combine like terms: -0.3d + -0.5d = -0.8d 16.5 + -0.8d = -7.5 + 0.5d + -0.5d Combine like terms: 0.5d + -0.5d = 0.0 16.5 + -0.8d = -7.5 + 0.0 16.5 + -0.8d = -7.5 Add '-16.5' to each side of the equation. 16.5 + -16.5 + -0.8d = -7.5 + -16.5 Combine like terms: 16.5 + -16.5 = 0.0 0.0 + -0.8d = -7.5 + -16.5 -0.8d = -7.5 + -16.5 Combine like terms: -7.5 + -16.5 = -24 -0.8d = -24 Divide each side by '-0.8'. d = 30 Simplifying d = 30
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