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Simplifying 3(2d + -5) = 2(2d + -4) Reorder the terms: 3(-5 + 2d) = 2(2d + -4) (-5 * 3 + 2d * 3) = 2(2d + -4) (-15 + 6d) = 2(2d + -4) Reorder the terms: -15 + 6d = 2(-4 + 2d) -15 + 6d = (-4 * 2 + 2d * 2) -15 + 6d = (-8 + 4d) Solving -15 + 6d = -8 + 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. -15 + 6d + -4d = -8 + 4d + -4d Combine like terms: 6d + -4d = 2d -15 + 2d = -8 + 4d + -4d Combine like terms: 4d + -4d = 0 -15 + 2d = -8 + 0 -15 + 2d = -8 Add '15' to each side of the equation. -15 + 15 + 2d = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 2d = -8 + 15 2d = -8 + 15 Combine like terms: -8 + 15 = 7 2d = 7 Divide each side by '2'. d = 3.5 Simplifying d = 3.5
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