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Simplifying 10(9 + -1d) = 10d (9 * 10 + -1d * 10) = 10d (90 + -10d) = 10d Solving 90 + -10d = 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 90 + -10d + -10d = 10d + -10d Combine like terms: -10d + -10d = -20d 90 + -20d = 10d + -10d Combine like terms: 10d + -10d = 0 90 + -20d = 0 Add '-90' to each side of the equation. 90 + -90 + -20d = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -20d = 0 + -90 -20d = 0 + -90 Combine like terms: 0 + -90 = -90 -20d = -90 Divide each side by '-20'. d = 4.5 Simplifying d = 4.5
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