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Simplifying 7(10 + -3d) = 5(10 + -4d) (10 * 7 + -3d * 7) = 5(10 + -4d) (70 + -21d) = 5(10 + -4d) 70 + -21d = (10 * 5 + -4d * 5) 70 + -21d = (50 + -20d) Solving 70 + -21d = 50 + -20d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '20d' to each side of the equation. 70 + -21d + 20d = 50 + -20d + 20d Combine like terms: -21d + 20d = -1d 70 + -1d = 50 + -20d + 20d Combine like terms: -20d + 20d = 0 70 + -1d = 50 + 0 70 + -1d = 50 Add '-70' to each side of the equation. 70 + -70 + -1d = 50 + -70 Combine like terms: 70 + -70 = 0 0 + -1d = 50 + -70 -1d = 50 + -70 Combine like terms: 50 + -70 = -20 -1d = -20 Divide each side by '-1'. d = 20 Simplifying d = 20
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