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Simplifying 5(d + -2) = 10(3d + 9) Reorder the terms: 5(-2 + d) = 10(3d + 9) (-2 * 5 + d * 5) = 10(3d + 9) (-10 + 5d) = 10(3d + 9) Reorder the terms: -10 + 5d = 10(9 + 3d) -10 + 5d = (9 * 10 + 3d * 10) -10 + 5d = (90 + 30d) Solving -10 + 5d = 90 + 30d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-30d' to each side of the equation. -10 + 5d + -30d = 90 + 30d + -30d Combine like terms: 5d + -30d = -25d -10 + -25d = 90 + 30d + -30d Combine like terms: 30d + -30d = 0 -10 + -25d = 90 + 0 -10 + -25d = 90 Add '10' to each side of the equation. -10 + 10 + -25d = 90 + 10 Combine like terms: -10 + 10 = 0 0 + -25d = 90 + 10 -25d = 90 + 10 Combine like terms: 90 + 10 = 100 -25d = 100 Divide each side by '-25'. d = -4 Simplifying d = -4
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