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Simplifying -15d + -24 = 3(d + 8) + -12d Reorder the terms: -24 + -15d = 3(d + 8) + -12d Reorder the terms: -24 + -15d = 3(8 + d) + -12d -24 + -15d = (8 * 3 + d * 3) + -12d -24 + -15d = (24 + 3d) + -12d Combine like terms: 3d + -12d = -9d -24 + -15d = 24 + -9d Solving -24 + -15d = 24 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. -24 + -15d + 9d = 24 + -9d + 9d Combine like terms: -15d + 9d = -6d -24 + -6d = 24 + -9d + 9d Combine like terms: -9d + 9d = 0 -24 + -6d = 24 + 0 -24 + -6d = 24 Add '24' to each side of the equation. -24 + 24 + -6d = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -6d = 24 + 24 -6d = 24 + 24 Combine like terms: 24 + 24 = 48 -6d = 48 Divide each side by '-6'. d = -8 Simplifying d = -8
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