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Simplifying -5(d + 7) = -10d Reorder the terms: -5(7 + d) = -10d (7 * -5 + d * -5) = -10d (-35 + -5d) = -10d Solving -35 + -5d = -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. -35 + -5d + 10d = -10d + 10d Combine like terms: -5d + 10d = 5d -35 + 5d = -10d + 10d Combine like terms: -10d + 10d = 0 -35 + 5d = 0 Add '35' to each side of the equation. -35 + 35 + 5d = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 5d = 0 + 35 5d = 0 + 35 Combine like terms: 0 + 35 = 35 5d = 35 Divide each side by '5'. d = 7 Simplifying d = 7
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