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Simplifying -6d + 7 = 8 + 4(d + -1) Reorder the terms: 7 + -6d = 8 + 4(d + -1) Reorder the terms: 7 + -6d = 8 + 4(-1 + d) 7 + -6d = 8 + (-1 * 4 + d * 4) 7 + -6d = 8 + (-4 + 4d) Combine like terms: 8 + -4 = 4 7 + -6d = 4 + 4d Solving 7 + -6d = 4 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 7 + -6d + -4d = 4 + 4d + -4d Combine like terms: -6d + -4d = -10d 7 + -10d = 4 + 4d + -4d Combine like terms: 4d + -4d = 0 7 + -10d = 4 + 0 7 + -10d = 4 Add '-7' to each side of the equation. 7 + -7 + -10d = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -10d = 4 + -7 -10d = 4 + -7 Combine like terms: 4 + -7 = -3 -10d = -3 Divide each side by '-10'. d = 0.3 Simplifying d = 0.3
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