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Simplifying 2(-6d + 5) = -4d + 2 Reorder the terms: 2(5 + -6d) = -4d + 2 (5 * 2 + -6d * 2) = -4d + 2 (10 + -12d) = -4d + 2 Reorder the terms: 10 + -12d = 2 + -4d Solving 10 + -12d = 2 + -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. 10 + -12d + 4d = 2 + -4d + 4d Combine like terms: -12d + 4d = -8d 10 + -8d = 2 + -4d + 4d Combine like terms: -4d + 4d = 0 10 + -8d = 2 + 0 10 + -8d = 2 Add '-10' to each side of the equation. 10 + -10 + -8d = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -8d = 2 + -10 -8d = 2 + -10 Combine like terms: 2 + -10 = -8 -8d = -8 Divide each side by '-8'. d = 1 Simplifying d = 1
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