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Simplifying 5(2d + -3) = 13d + 2 Reorder the terms: 5(-3 + 2d) = 13d + 2 (-3 * 5 + 2d * 5) = 13d + 2 (-15 + 10d) = 13d + 2 Reorder the terms: -15 + 10d = 2 + 13d Solving -15 + 10d = 2 + 13d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13d' to each side of the equation. -15 + 10d + -13d = 2 + 13d + -13d Combine like terms: 10d + -13d = -3d -15 + -3d = 2 + 13d + -13d Combine like terms: 13d + -13d = 0 -15 + -3d = 2 + 0 -15 + -3d = 2 Add '15' to each side of the equation. -15 + 15 + -3d = 2 + 15 Combine like terms: -15 + 15 = 0 0 + -3d = 2 + 15 -3d = 2 + 15 Combine like terms: 2 + 15 = 17 -3d = 17 Divide each side by '-3'. d = -5.666666667 Simplifying d = -5.666666667
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