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Simplifying 3(2d + -1) + -2d = 4(d + -2) * 5 Reorder the terms: 3(-1 + 2d) + -2d = 4(d + -2) * 5 (-1 * 3 + 2d * 3) + -2d = 4(d + -2) * 5 (-3 + 6d) + -2d = 4(d + -2) * 5 Combine like terms: 6d + -2d = 4d -3 + 4d = 4(d + -2) * 5 Reorder the terms: -3 + 4d = 4(-2 + d) * 5 Reorder the terms for easier multiplication: -3 + 4d = 4 * 5(-2 + d) Multiply 4 * 5 -3 + 4d = 20(-2 + d) -3 + 4d = (-2 * 20 + d * 20) -3 + 4d = (-40 + 20d) Solving -3 + 4d = -40 + 20d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-20d' to each side of the equation. -3 + 4d + -20d = -40 + 20d + -20d Combine like terms: 4d + -20d = -16d -3 + -16d = -40 + 20d + -20d Combine like terms: 20d + -20d = 0 -3 + -16d = -40 + 0 -3 + -16d = -40 Add '3' to each side of the equation. -3 + 3 + -16d = -40 + 3 Combine like terms: -3 + 3 = 0 0 + -16d = -40 + 3 -16d = -40 + 3 Combine like terms: -40 + 3 = -37 -16d = -37 Divide each side by '-16'. d = 2.3125 Simplifying d = 2.3125
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