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Simplifying 29 = 8 + 7(d + -6) Reorder the terms: 29 = 8 + 7(-6 + d) 29 = 8 + (-6 * 7 + d * 7) 29 = 8 + (-42 + 7d) Combine like terms: 8 + -42 = -34 29 = -34 + 7d Solving 29 = -34 + 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. 29 + -7d = -34 + 7d + -7d Combine like terms: 7d + -7d = 0 29 + -7d = -34 + 0 29 + -7d = -34 Add '-29' to each side of the equation. 29 + -29 + -7d = -34 + -29 Combine like terms: 29 + -29 = 0 0 + -7d = -34 + -29 -7d = -34 + -29 Combine like terms: -34 + -29 = -63 -7d = -63 Divide each side by '-7'. d = 9 Simplifying d = 9
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