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Simplifying -12d + -6 = 2(d + 3) + -10d Reorder the terms: -6 + -12d = 2(d + 3) + -10d Reorder the terms: -6 + -12d = 2(3 + d) + -10d -6 + -12d = (3 * 2 + d * 2) + -10d -6 + -12d = (6 + 2d) + -10d Combine like terms: 2d + -10d = -8d -6 + -12d = 6 + -8d Solving -6 + -12d = 6 + -8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. -6 + -12d + 8d = 6 + -8d + 8d Combine like terms: -12d + 8d = -4d -6 + -4d = 6 + -8d + 8d Combine like terms: -8d + 8d = 0 -6 + -4d = 6 + 0 -6 + -4d = 6 Add '6' to each side of the equation. -6 + 6 + -4d = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -4d = 6 + 6 -4d = 6 + 6 Combine like terms: 6 + 6 = 12 -4d = 12 Divide each side by '-4'. d = -3 Simplifying d = -3
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