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Simplifying 10 = -3(2d + 4) Reorder the terms: 10 = -3(4 + 2d) 10 = (4 * -3 + 2d * -3) 10 = (-12 + -6d) Solving 10 = -12 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 10 + 6d = -12 + -6d + 6d Combine like terms: -6d + 6d = 0 10 + 6d = -12 + 0 10 + 6d = -12 Add '-10' to each side of the equation. 10 + -10 + 6d = -12 + -10 Combine like terms: 10 + -10 = 0 0 + 6d = -12 + -10 6d = -12 + -10 Combine like terms: -12 + -10 = -22 6d = -22 Divide each side by '6'. d = -3.666666667 Simplifying d = -3.666666667
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