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Simplifying 5(2d + -7) = 6d + 13 Reorder the terms: 5(-7 + 2d) = 6d + 13 (-7 * 5 + 2d * 5) = 6d + 13 (-35 + 10d) = 6d + 13 Reorder the terms: -35 + 10d = 13 + 6d Solving -35 + 10d = 13 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -35 + 10d + -6d = 13 + 6d + -6d Combine like terms: 10d + -6d = 4d -35 + 4d = 13 + 6d + -6d Combine like terms: 6d + -6d = 0 -35 + 4d = 13 + 0 -35 + 4d = 13 Add '35' to each side of the equation. -35 + 35 + 4d = 13 + 35 Combine like terms: -35 + 35 = 0 0 + 4d = 13 + 35 4d = 13 + 35 Combine like terms: 13 + 35 = 48 4d = 48 Divide each side by '4'. d = 12 Simplifying d = 12
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