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Simplifying 7(9d + -5) = 12(5d + -6) Reorder the terms: 7(-5 + 9d) = 12(5d + -6) (-5 * 7 + 9d * 7) = 12(5d + -6) (-35 + 63d) = 12(5d + -6) Reorder the terms: -35 + 63d = 12(-6 + 5d) -35 + 63d = (-6 * 12 + 5d * 12) -35 + 63d = (-72 + 60d) Solving -35 + 63d = -72 + 60d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-60d' to each side of the equation. -35 + 63d + -60d = -72 + 60d + -60d Combine like terms: 63d + -60d = 3d -35 + 3d = -72 + 60d + -60d Combine like terms: 60d + -60d = 0 -35 + 3d = -72 + 0 -35 + 3d = -72 Add '35' to each side of the equation. -35 + 35 + 3d = -72 + 35 Combine like terms: -35 + 35 = 0 0 + 3d = -72 + 35 3d = -72 + 35 Combine like terms: -72 + 35 = -37 3d = -37 Divide each side by '3'. d = -12.33333333 Simplifying d = -12.33333333
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