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Simplifying -5d + -24 = -4(d + -6) + 2d Reorder the terms: -24 + -5d = -4(d + -6) + 2d Reorder the terms: -24 + -5d = -4(-6 + d) + 2d -24 + -5d = (-6 * -4 + d * -4) + 2d -24 + -5d = (24 + -4d) + 2d Combine like terms: -4d + 2d = -2d -24 + -5d = 24 + -2d Solving -24 + -5d = 24 + -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. -24 + -5d + 2d = 24 + -2d + 2d Combine like terms: -5d + 2d = -3d -24 + -3d = 24 + -2d + 2d Combine like terms: -2d + 2d = 0 -24 + -3d = 24 + 0 -24 + -3d = 24 Add '24' to each side of the equation. -24 + 24 + -3d = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -3d = 24 + 24 -3d = 24 + 24 Combine like terms: 24 + 24 = 48 -3d = 48 Divide each side by '-3'. d = -16 Simplifying d = -16
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