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Simplifying 4d + 4 = 6(2d + -7) Reorder the terms: 4 + 4d = 6(2d + -7) Reorder the terms: 4 + 4d = 6(-7 + 2d) 4 + 4d = (-7 * 6 + 2d * 6) 4 + 4d = (-42 + 12d) Solving 4 + 4d = -42 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 4 + 4d + -12d = -42 + 12d + -12d Combine like terms: 4d + -12d = -8d 4 + -8d = -42 + 12d + -12d Combine like terms: 12d + -12d = 0 4 + -8d = -42 + 0 4 + -8d = -42 Add '-4' to each side of the equation. 4 + -4 + -8d = -42 + -4 Combine like terms: 4 + -4 = 0 0 + -8d = -42 + -4 -8d = -42 + -4 Combine like terms: -42 + -4 = -46 -8d = -46 Divide each side by '-8'. d = 5.75 Simplifying d = 5.75
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