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Simplifying 6(d + -9) = 3(14 + -1d) Reorder the terms: 6(-9 + d) = 3(14 + -1d) (-9 * 6 + d * 6) = 3(14 + -1d) (-54 + 6d) = 3(14 + -1d) -54 + 6d = (14 * 3 + -1d * 3) -54 + 6d = (42 + -3d) Solving -54 + 6d = 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. -54 + 6d + 3d = 42 + -3d + 3d Combine like terms: 6d + 3d = 9d -54 + 9d = 42 + -3d + 3d Combine like terms: -3d + 3d = 0 -54 + 9d = 42 + 0 -54 + 9d = 42 Add '54' to each side of the equation. -54 + 54 + 9d = 42 + 54 Combine like terms: -54 + 54 = 0 0 + 9d = 42 + 54 9d = 42 + 54 Combine like terms: 42 + 54 = 96 9d = 96 Divide each side by '9'. d = 10.66666667 Simplifying d = 10.66666667
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