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Simplifying 4(d + -8) = -1d + 8 Reorder the terms: 4(-8 + d) = -1d + 8 (-8 * 4 + d * 4) = -1d + 8 (-32 + 4d) = -1d + 8 Reorder the terms: -32 + 4d = 8 + -1d Solving -32 + 4d = 8 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. -32 + 4d + d = 8 + -1d + d Combine like terms: 4d + d = 5d -32 + 5d = 8 + -1d + d Combine like terms: -1d + d = 0 -32 + 5d = 8 + 0 -32 + 5d = 8 Add '32' to each side of the equation. -32 + 32 + 5d = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 5d = 8 + 32 5d = 8 + 32 Combine like terms: 8 + 32 = 40 5d = 40 Divide each side by '5'. d = 8 Simplifying d = 8
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