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Simplifying -10 + -6(14d + 7) = 32 Reorder the terms: -10 + -6(7 + 14d) = 32 -10 + (7 * -6 + 14d * -6) = 32 -10 + (-42 + -84d) = 32 Combine like terms: -10 + -42 = -52 -52 + -84d = 32 Solving -52 + -84d = 32 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -84d = 32 + 52 Combine like terms: -52 + 52 = 0 0 + -84d = 32 + 52 -84d = 32 + 52 Combine like terms: 32 + 52 = 84 -84d = 84 Divide each side by '-84'. d = -1 Simplifying d = -1
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