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Simplifying 9(4d + -6) = 2(-13 + -2d) Reorder the terms: 9(-6 + 4d) = 2(-13 + -2d) (-6 * 9 + 4d * 9) = 2(-13 + -2d) (-54 + 36d) = 2(-13 + -2d) -54 + 36d = (-13 * 2 + -2d * 2) -54 + 36d = (-26 + -4d) Solving -54 + 36d = -26 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. -54 + 36d + 4d = -26 + -4d + 4d Combine like terms: 36d + 4d = 40d -54 + 40d = -26 + -4d + 4d Combine like terms: -4d + 4d = 0 -54 + 40d = -26 + 0 -54 + 40d = -26 Add '54' to each side of the equation. -54 + 54 + 40d = -26 + 54 Combine like terms: -54 + 54 = 0 0 + 40d = -26 + 54 40d = -26 + 54 Combine like terms: -26 + 54 = 28 40d = 28 Divide each side by '40'. d = 0.7 Simplifying d = 0.7
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