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Simplifying 5(4 + -1d) = 6d + 10 + -1d (4 * 5 + -1d * 5) = 6d + 10 + -1d (20 + -5d) = 6d + 10 + -1d Reorder the terms: 20 + -5d = 10 + 6d + -1d Combine like terms: 6d + -1d = 5d 20 + -5d = 10 + 5d Solving 20 + -5d = 10 + 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. 20 + -5d + -5d = 10 + 5d + -5d Combine like terms: -5d + -5d = -10d 20 + -10d = 10 + 5d + -5d Combine like terms: 5d + -5d = 0 20 + -10d = 10 + 0 20 + -10d = 10 Add '-20' to each side of the equation. 20 + -20 + -10d = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -10d = 10 + -20 -10d = 10 + -20 Combine like terms: 10 + -20 = -10 -10d = -10 Divide each side by '-10'. d = 1 Simplifying d = 1
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