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Simplifying -2d + 2d + -18 = -3(-4d + -6) Reorder the terms: -18 + -2d + 2d = -3(-4d + -6) Combine like terms: -2d + 2d = 0 -18 + 0 = -3(-4d + -6) -18 = -3(-4d + -6) Reorder the terms: -18 = -3(-6 + -4d) -18 = (-6 * -3 + -4d * -3) -18 = (18 + 12d) Solving -18 = 18 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -18 + -12d = 18 + 12d + -12d Combine like terms: 12d + -12d = 0 -18 + -12d = 18 + 0 -18 + -12d = 18 Add '18' to each side of the equation. -18 + 18 + -12d = 18 + 18 Combine like terms: -18 + 18 = 0 0 + -12d = 18 + 18 -12d = 18 + 18 Combine like terms: 18 + 18 = 36 -12d = 36 Divide each side by '-12'. d = -3 Simplifying d = -3
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