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Simplifying 8(2d + -3) = 3(4d + -7) Reorder the terms: 8(-3 + 2d) = 3(4d + -7) (-3 * 8 + 2d * 8) = 3(4d + -7) (-24 + 16d) = 3(4d + -7) Reorder the terms: -24 + 16d = 3(-7 + 4d) -24 + 16d = (-7 * 3 + 4d * 3) -24 + 16d = (-21 + 12d) Solving -24 + 16d = -21 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -24 + 16d + -12d = -21 + 12d + -12d Combine like terms: 16d + -12d = 4d -24 + 4d = -21 + 12d + -12d Combine like terms: 12d + -12d = 0 -24 + 4d = -21 + 0 -24 + 4d = -21 Add '24' to each side of the equation. -24 + 24 + 4d = -21 + 24 Combine like terms: -24 + 24 = 0 0 + 4d = -21 + 24 4d = -21 + 24 Combine like terms: -21 + 24 = 3 4d = 3 Divide each side by '4'. d = 0.75 Simplifying d = 0.75
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