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Simplifying 4(4 + 2) = 14 + -2(3 + -2d) Combine like terms: 4 + 2 = 6 4(6) = 14 + -2(3 + -2d) Multiply 4 * 6 24 = 14 + -2(3 + -2d) 24 = 14 + (3 * -2 + -2d * -2) 24 = 14 + (-6 + 4d) Combine like terms: 14 + -6 = 8 24 = 8 + 4d Solving 24 = 8 + 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. 24 + -4d = 8 + 4d + -4d Combine like terms: 4d + -4d = 0 24 + -4d = 8 + 0 24 + -4d = 8 Add '-24' to each side of the equation. 24 + -24 + -4d = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -4d = 8 + -24 -4d = 8 + -24 Combine like terms: 8 + -24 = -16 -4d = -16 Divide each side by '-4'. d = 4 Simplifying d = 4
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