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Simplifying 7(d + -2) = -5(d + -2) Reorder the terms: 7(-2 + d) = -5(d + -2) (-2 * 7 + d * 7) = -5(d + -2) (-14 + 7d) = -5(d + -2) Reorder the terms: -14 + 7d = -5(-2 + d) -14 + 7d = (-2 * -5 + d * -5) -14 + 7d = (10 + -5d) Solving -14 + 7d = 10 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. -14 + 7d + 5d = 10 + -5d + 5d Combine like terms: 7d + 5d = 12d -14 + 12d = 10 + -5d + 5d Combine like terms: -5d + 5d = 0 -14 + 12d = 10 + 0 -14 + 12d = 10 Add '14' to each side of the equation. -14 + 14 + 12d = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 12d = 10 + 14 12d = 10 + 14 Combine like terms: 10 + 14 = 24 12d = 24 Divide each side by '12'. d = 2 Simplifying d = 2
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