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Simplifying 28 + -4(2d + -3) = 7d + -5 Reorder the terms: 28 + -4(-3 + 2d) = 7d + -5 28 + (-3 * -4 + 2d * -4) = 7d + -5 28 + (12 + -8d) = 7d + -5 Combine like terms: 28 + 12 = 40 40 + -8d = 7d + -5 Reorder the terms: 40 + -8d = -5 + 7d Solving 40 + -8d = -5 + 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. 40 + -8d + -7d = -5 + 7d + -7d Combine like terms: -8d + -7d = -15d 40 + -15d = -5 + 7d + -7d Combine like terms: 7d + -7d = 0 40 + -15d = -5 + 0 40 + -15d = -5 Add '-40' to each side of the equation. 40 + -40 + -15d = -5 + -40 Combine like terms: 40 + -40 = 0 0 + -15d = -5 + -40 -15d = -5 + -40 Combine like terms: -5 + -40 = -45 -15d = -45 Divide each side by '-15'. d = 3 Simplifying d = 3
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