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Simplifying 10(d + 2) = 4(d + -3) Reorder the terms: 10(2 + d) = 4(d + -3) (2 * 10 + d * 10) = 4(d + -3) (20 + 10d) = 4(d + -3) Reorder the terms: 20 + 10d = 4(-3 + d) 20 + 10d = (-3 * 4 + d * 4) 20 + 10d = (-12 + 4d) Solving 20 + 10d = -12 + 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 + 10d + -4d = -12 + 4d + -4d Combine like terms: 10d + -4d = 6d 20 + 6d = -12 + 4d + -4d Combine like terms: 4d + -4d = 0 20 + 6d = -12 + 0 20 + 6d = -12 Add '-20' to each side of the equation. 20 + -20 + 6d = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 6d = -12 + -20 6d = -12 + -20 Combine like terms: -12 + -20 = -32 6d = -32 Divide each side by '6'. d = -5.333333333 Simplifying d = -5.333333333
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