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Simplifying 2(3d + -1) + -5 = 5(d + -1) Reorder the terms: 2(-1 + 3d) + -5 = 5(d + -1) (-1 * 2 + 3d * 2) + -5 = 5(d + -1) (-2 + 6d) + -5 = 5(d + -1) Reorder the terms: -2 + -5 + 6d = 5(d + -1) Combine like terms: -2 + -5 = -7 -7 + 6d = 5(d + -1) Reorder the terms: -7 + 6d = 5(-1 + d) -7 + 6d = (-1 * 5 + d * 5) -7 + 6d = (-5 + 5d) Solving -7 + 6d = -5 + 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. -7 + 6d + -5d = -5 + 5d + -5d Combine like terms: 6d + -5d = 1d -7 + 1d = -5 + 5d + -5d Combine like terms: 5d + -5d = 0 -7 + 1d = -5 + 0 -7 + 1d = -5 Add '7' to each side of the equation. -7 + 7 + 1d = -5 + 7 Combine like terms: -7 + 7 = 0 0 + 1d = -5 + 7 1d = -5 + 7 Combine like terms: -5 + 7 = 2 1d = 2 Divide each side by '1'. d = 2 Simplifying d = 2
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