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Simplifying 5(2 + -4d) + -6d = 8d + -126 (2 * 5 + -4d * 5) + -6d = 8d + -126 (10 + -20d) + -6d = 8d + -126 Combine like terms: -20d + -6d = -26d 10 + -26d = 8d + -126 Reorder the terms: 10 + -26d = -126 + 8d Solving 10 + -26d = -126 + 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. 10 + -26d + -8d = -126 + 8d + -8d Combine like terms: -26d + -8d = -34d 10 + -34d = -126 + 8d + -8d Combine like terms: 8d + -8d = 0 10 + -34d = -126 + 0 10 + -34d = -126 Add '-10' to each side of the equation. 10 + -10 + -34d = -126 + -10 Combine like terms: 10 + -10 = 0 0 + -34d = -126 + -10 -34d = -126 + -10 Combine like terms: -126 + -10 = -136 -34d = -136 Divide each side by '-34'. d = 4 Simplifying d = 4
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