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Simplifying 5 + 2d + -6d + 7 = 4(2d + -9) Reorder the terms: 5 + 7 + 2d + -6d = 4(2d + -9) Combine like terms: 5 + 7 = 12 12 + 2d + -6d = 4(2d + -9) Combine like terms: 2d + -6d = -4d 12 + -4d = 4(2d + -9) Reorder the terms: 12 + -4d = 4(-9 + 2d) 12 + -4d = (-9 * 4 + 2d * 4) 12 + -4d = (-36 + 8d) Solving 12 + -4d = -36 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 12 + -4d + -8d = -36 + 8d + -8d Combine like terms: -4d + -8d = -12d 12 + -12d = -36 + 8d + -8d Combine like terms: 8d + -8d = 0 12 + -12d = -36 + 0 12 + -12d = -36 Add '-12' to each side of the equation. 12 + -12 + -12d = -36 + -12 Combine like terms: 12 + -12 = 0 0 + -12d = -36 + -12 -12d = -36 + -12 Combine like terms: -36 + -12 = -48 -12d = -48 Divide each side by '-12'. d = 4 Simplifying d = 4
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