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Simplifying 3(d + -2) = 5(d + 3) Reorder the terms: 3(-2 + d) = 5(d + 3) (-2 * 3 + d * 3) = 5(d + 3) (-6 + 3d) = 5(d + 3) Reorder the terms: -6 + 3d = 5(3 + d) -6 + 3d = (3 * 5 + d * 5) -6 + 3d = (15 + 5d) Solving -6 + 3d = 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. -6 + 3d + -5d = 15 + 5d + -5d Combine like terms: 3d + -5d = -2d -6 + -2d = 15 + 5d + -5d Combine like terms: 5d + -5d = 0 -6 + -2d = 15 + 0 -6 + -2d = 15 Add '6' to each side of the equation. -6 + 6 + -2d = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -2d = 15 + 6 -2d = 15 + 6 Combine like terms: 15 + 6 = 21 -2d = 21 Divide each side by '-2'. d = -10.5 Simplifying d = -10.5
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