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Simplifying -12d + -6 = -2(d + 3) + -10 Reorder the terms: -6 + -12d = -2(d + 3) + -10 Reorder the terms: -6 + -12d = -2(3 + d) + -10 -6 + -12d = (3 * -2 + d * -2) + -10 -6 + -12d = (-6 + -2d) + -10 Reorder the terms: -6 + -12d = -6 + -10 + -2d Combine like terms: -6 + -10 = -16 -6 + -12d = -16 + -2d Solving -6 + -12d = -16 + -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. -6 + -12d + 2d = -16 + -2d + 2d Combine like terms: -12d + 2d = -10d -6 + -10d = -16 + -2d + 2d Combine like terms: -2d + 2d = 0 -6 + -10d = -16 + 0 -6 + -10d = -16 Add '6' to each side of the equation. -6 + 6 + -10d = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -10d = -16 + 6 -10d = -16 + 6 Combine like terms: -16 + 6 = -10 -10d = -10 Divide each side by '-10'. d = 1 Simplifying d = 1
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