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Simplifying 12(4 + -2d) + -6 = 2(5d + -5) (4 * 12 + -2d * 12) + -6 = 2(5d + -5) (48 + -24d) + -6 = 2(5d + -5) Reorder the terms: 48 + -6 + -24d = 2(5d + -5) Combine like terms: 48 + -6 = 42 42 + -24d = 2(5d + -5) Reorder the terms: 42 + -24d = 2(-5 + 5d) 42 + -24d = (-5 * 2 + 5d * 2) 42 + -24d = (-10 + 10d) Solving 42 + -24d = -10 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. 42 + -24d + -10d = -10 + 10d + -10d Combine like terms: -24d + -10d = -34d 42 + -34d = -10 + 10d + -10d Combine like terms: 10d + -10d = 0 42 + -34d = -10 + 0 42 + -34d = -10 Add '-42' to each side of the equation. 42 + -42 + -34d = -10 + -42 Combine like terms: 42 + -42 = 0 0 + -34d = -10 + -42 -34d = -10 + -42 Combine like terms: -10 + -42 = -52 -34d = -52 Divide each side by '-34'. d = 1.529411765 Simplifying d = 1.529411765
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