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Simplifying 2(-2d + 6) = 2(d + 3) Reorder the terms: 2(6 + -2d) = 2(d + 3) (6 * 2 + -2d * 2) = 2(d + 3) (12 + -4d) = 2(d + 3) Reorder the terms: 12 + -4d = 2(3 + d) 12 + -4d = (3 * 2 + d * 2) 12 + -4d = (6 + 2d) Solving 12 + -4d = 6 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 12 + -4d + -2d = 6 + 2d + -2d Combine like terms: -4d + -2d = -6d 12 + -6d = 6 + 2d + -2d Combine like terms: 2d + -2d = 0 12 + -6d = 6 + 0 12 + -6d = 6 Add '-12' to each side of the equation. 12 + -12 + -6d = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -6d = 6 + -12 -6d = 6 + -12 Combine like terms: 6 + -12 = -6 -6d = -6 Divide each side by '-6'. d = 1 Simplifying d = 1
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