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Simplifying 4(d + -7) = 8 + -2d Reorder the terms: 4(-7 + d) = 8 + -2d (-7 * 4 + d * 4) = 8 + -2d (-28 + 4d) = 8 + -2d Solving -28 + 4d = 8 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -28 + 4d + 2d = 8 + -2d + 2d Combine like terms: 4d + 2d = 6d -28 + 6d = 8 + -2d + 2d Combine like terms: -2d + 2d = 0 -28 + 6d = 8 + 0 -28 + 6d = 8 Add '28' to each side of the equation. -28 + 28 + 6d = 8 + 28 Combine like terms: -28 + 28 = 0 0 + 6d = 8 + 28 6d = 8 + 28 Combine like terms: 8 + 28 = 36 6d = 36 Divide each side by '6'. d = 6 Simplifying d = 6
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