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Simplifying 9(d + -8) = 3(14 + -1d) Reorder the terms: 9(-8 + d) = 3(14 + -1d) (-8 * 9 + d * 9) = 3(14 + -1d) (-72 + 9d) = 3(14 + -1d) -72 + 9d = (14 * 3 + -1d * 3) -72 + 9d = (42 + -3d) Solving -72 + 9d = 42 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -72 + 9d + 3d = 42 + -3d + 3d Combine like terms: 9d + 3d = 12d -72 + 12d = 42 + -3d + 3d Combine like terms: -3d + 3d = 0 -72 + 12d = 42 + 0 -72 + 12d = 42 Add '72' to each side of the equation. -72 + 72 + 12d = 42 + 72 Combine like terms: -72 + 72 = 0 0 + 12d = 42 + 72 12d = 42 + 72 Combine like terms: 42 + 72 = 114 12d = 114 Divide each side by '12'. d = 9.5 Simplifying d = 9.5
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