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Simplifying 5(d + -7) = 90 + 10d Reorder the terms: 5(-7 + d) = 90 + 10d (-7 * 5 + d * 5) = 90 + 10d (-35 + 5d) = 90 + 10d Solving -35 + 5d = 90 + 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 = 90 + 10d + -10d Combine like terms: 5d + -10d = -5d -35 + -5d = 90 + 10d + -10d Combine like terms: 10d + -10d = 0 -35 + -5d = 90 + 0 -35 + -5d = 90 Add '35' to each side of the equation. -35 + 35 + -5d = 90 + 35 Combine like terms: -35 + 35 = 0 0 + -5d = 90 + 35 -5d = 90 + 35 Combine like terms: 90 + 35 = 125 -5d = 125 Divide each side by '-5'. d = -25 Simplifying d = -25
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