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Simplifying 10 = 5(d + 8) Reorder the terms: 10 = 5(8 + d) 10 = (8 * 5 + d * 5) 10 = (40 + 5d) Solving 10 = 40 + 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. 10 + -5d = 40 + 5d + -5d Combine like terms: 5d + -5d = 0 10 + -5d = 40 + 0 10 + -5d = 40 Add '-10' to each side of the equation. 10 + -10 + -5d = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -5d = 40 + -10 -5d = 40 + -10 Combine like terms: 40 + -10 = 30 -5d = 30 Divide each side by '-5'. d = -6 Simplifying d = -6
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