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Simplifying 4(3d + -2) = 7d + -37 Reorder the terms: 4(-2 + 3d) = 7d + -37 (-2 * 4 + 3d * 4) = 7d + -37 (-8 + 12d) = 7d + -37 Reorder the terms: -8 + 12d = -37 + 7d Solving -8 + 12d = -37 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -8 + 12d + -7d = -37 + 7d + -7d Combine like terms: 12d + -7d = 5d -8 + 5d = -37 + 7d + -7d Combine like terms: 7d + -7d = 0 -8 + 5d = -37 + 0 -8 + 5d = -37 Add '8' to each side of the equation. -8 + 8 + 5d = -37 + 8 Combine like terms: -8 + 8 = 0 0 + 5d = -37 + 8 5d = -37 + 8 Combine like terms: -37 + 8 = -29 5d = -29 Divide each side by '5'. d = -5.8 Simplifying d = -5.8
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