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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 = -5d -24 + 5d = -24 + -5d Add '24' to each side of the equation. -24 + 24 + 5d = -24 + 24 + -5d Combine like terms: -24 + 24 = 0 0 + 5d = -24 + 24 + -5d 5d = -24 + 24 + -5d Combine like terms: -24 + 24 = 0 5d = 0 + -5d 5d = -5d Solving 5d = -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. 5d + 5d = -5d + 5d Combine like terms: 5d + 5d = 10d 10d = -5d + 5d Combine like terms: -5d + 5d = 0 10d = 0 Divide each side by '10'. d = 0.0 Simplifying d = 0.0
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