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