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Simplifying 9 = 2(d + -5) + 5 Reorder the terms: 9 = 2(-5 + d) + 5 9 = (-5 * 2 + d * 2) + 5 9 = (-10 + 2d) + 5 Reorder the terms: 9 = -10 + 5 + 2d Combine like terms: -10 + 5 = -5 9 = -5 + 2d Solving 9 = -5 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 9 + -2d = -5 + 2d + -2d Combine like terms: 2d + -2d = 0 9 + -2d = -5 + 0 9 + -2d = -5 Add '-9' to each side of the equation. 9 + -9 + -2d = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -2d = -5 + -9 -2d = -5 + -9 Combine like terms: -5 + -9 = -14 -2d = -14 Divide each side by '-2'. d = 7 Simplifying d = 7
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