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Simplifying 3(d + -2) = 5(d + -8) Reorder the terms: 3(-2 + d) = 5(d + -8) (-2 * 3 + d * 3) = 5(d + -8) (-6 + 3d) = 5(d + -8) Reorder the terms: -6 + 3d = 5(-8 + d) -6 + 3d = (-8 * 5 + d * 5) -6 + 3d = (-40 + 5d) Solving -6 + 3d = -40 + 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 = -40 + 5d + -5d Combine like terms: 3d + -5d = -2d -6 + -2d = -40 + 5d + -5d Combine like terms: 5d + -5d = 0 -6 + -2d = -40 + 0 -6 + -2d = -40 Add '6' to each side of the equation. -6 + 6 + -2d = -40 + 6 Combine like terms: -6 + 6 = 0 0 + -2d = -40 + 6 -2d = -40 + 6 Combine like terms: -40 + 6 = -34 -2d = -34 Divide each side by '-2'. d = 17 Simplifying d = 17
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