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Simplifying -5d + -24 = 4(d + 6) + -1d Reorder the terms: -24 + -5d = 4(d + 6) + -1d Reorder the terms: -24 + -5d = 4(6 + d) + -1d -24 + -5d = (6 * 4 + d * 4) + -1d -24 + -5d = (24 + 4d) + -1d Combine like terms: 4d + -1d = 3d -24 + -5d = 24 + 3d Solving -24 + -5d = 24 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -24 + -5d + -3d = 24 + 3d + -3d Combine like terms: -5d + -3d = -8d -24 + -8d = 24 + 3d + -3d Combine like terms: 3d + -3d = 0 -24 + -8d = 24 + 0 -24 + -8d = 24 Add '24' to each side of the equation. -24 + 24 + -8d = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -8d = 24 + 24 -8d = 24 + 24 Combine like terms: 24 + 24 = 48 -8d = 48 Divide each side by '-8'. d = -6 Simplifying d = -6
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