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Simplifying 7(d + -2) = 5(d + -3) Reorder the terms: 7(-2 + d) = 5(d + -3) (-2 * 7 + d * 7) = 5(d + -3) (-14 + 7d) = 5(d + -3) Reorder the terms: -14 + 7d = 5(-3 + d) -14 + 7d = (-3 * 5 + d * 5) -14 + 7d = (-15 + 5d) Solving -14 + 7d = -15 + 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. -14 + 7d + -5d = -15 + 5d + -5d Combine like terms: 7d + -5d = 2d -14 + 2d = -15 + 5d + -5d Combine like terms: 5d + -5d = 0 -14 + 2d = -15 + 0 -14 + 2d = -15 Add '14' to each side of the equation. -14 + 14 + 2d = -15 + 14 Combine like terms: -14 + 14 = 0 0 + 2d = -15 + 14 2d = -15 + 14 Combine like terms: -15 + 14 = -1 2d = -1 Divide each side by '2'. d = -0.5 Simplifying d = -0.5
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