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Simplifying 12 + -4(d + -2) = 6d + -2(d + 5) Reorder the terms: 12 + -4(-2 + d) = 6d + -2(d + 5) 12 + (-2 * -4 + d * -4) = 6d + -2(d + 5) 12 + (8 + -4d) = 6d + -2(d + 5) Combine like terms: 12 + 8 = 20 20 + -4d = 6d + -2(d + 5) Reorder the terms: 20 + -4d = 6d + -2(5 + d) 20 + -4d = 6d + (5 * -2 + d * -2) 20 + -4d = 6d + (-10 + -2d) Reorder the terms: 20 + -4d = -10 + 6d + -2d Combine like terms: 6d + -2d = 4d 20 + -4d = -10 + 4d Solving 20 + -4d = -10 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 20 + -4d + -4d = -10 + 4d + -4d Combine like terms: -4d + -4d = -8d 20 + -8d = -10 + 4d + -4d Combine like terms: 4d + -4d = 0 20 + -8d = -10 + 0 20 + -8d = -10 Add '-20' to each side of the equation. 20 + -20 + -8d = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -8d = -10 + -20 -8d = -10 + -20 Combine like terms: -10 + -20 = -30 -8d = -30 Divide each side by '-8'. d = 3.75 Simplifying d = 3.75
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