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Simplifying -10 = -5(d + -7) Reorder the terms: -10 = -5(-7 + d) -10 = (-7 * -5 + d * -5) -10 = (35 + -5d) Solving -10 = 35 + -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. -10 + 5d = 35 + -5d + 5d Combine like terms: -5d + 5d = 0 -10 + 5d = 35 + 0 -10 + 5d = 35 Add '10' to each side of the equation. -10 + 10 + 5d = 35 + 10 Combine like terms: -10 + 10 = 0 0 + 5d = 35 + 10 5d = 35 + 10 Combine like terms: 35 + 10 = 45 5d = 45 Divide each side by '5'. d = 9 Simplifying d = 9
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