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Simplifying 6(d + -2) = 5(d + -8) Reorder the terms: 6(-2 + d) = 5(d + -8) (-2 * 6 + d * 6) = 5(d + -8) (-12 + 6d) = 5(d + -8) Reorder the terms: -12 + 6d = 5(-8 + d) -12 + 6d = (-8 * 5 + d * 5) -12 + 6d = (-40 + 5d) Solving -12 + 6d = -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. -12 + 6d + -5d = -40 + 5d + -5d Combine like terms: 6d + -5d = 1d -12 + 1d = -40 + 5d + -5d Combine like terms: 5d + -5d = 0 -12 + 1d = -40 + 0 -12 + 1d = -40 Add '12' to each side of the equation. -12 + 12 + 1d = -40 + 12 Combine like terms: -12 + 12 = 0 0 + 1d = -40 + 12 1d = -40 + 12 Combine like terms: -40 + 12 = -28 1d = -28 Divide each side by '1'. d = -28 Simplifying d = -28
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