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Simplifying -4(2 + d) = 10d + -12 (2 * -4 + d * -4) = 10d + -12 (-8 + -4d) = 10d + -12 Reorder the terms: -8 + -4d = -12 + 10d Solving -8 + -4d = -12 + 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. -8 + -4d + -10d = -12 + 10d + -10d Combine like terms: -4d + -10d = -14d -8 + -14d = -12 + 10d + -10d Combine like terms: 10d + -10d = 0 -8 + -14d = -12 + 0 -8 + -14d = -12 Add '8' to each side of the equation. -8 + 8 + -14d = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -14d = -12 + 8 -14d = -12 + 8 Combine like terms: -12 + 8 = -4 -14d = -4 Divide each side by '-14'. d = 0.2857142857 Simplifying d = 0.2857142857
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