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Simplifying 6(d + -2) = 5(d + -1) Reorder the terms: 6(-2 + d) = 5(d + -1) (-2 * 6 + d * 6) = 5(d + -1) (-12 + 6d) = 5(d + -1) Reorder the terms: -12 + 6d = 5(-1 + d) -12 + 6d = (-1 * 5 + d * 5) -12 + 6d = (-5 + 5d) Solving -12 + 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. -12 + 6d + -5d = -5 + 5d + -5d Combine like terms: 6d + -5d = 1d -12 + 1d = -5 + 5d + -5d Combine like terms: 5d + -5d = 0 -12 + 1d = -5 + 0 -12 + 1d = -5 Add '12' to each side of the equation. -12 + 12 + 1d = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 1d = -5 + 12 1d = -5 + 12 Combine like terms: -5 + 12 = 7 1d = 7 Divide each side by '1'. d = 7 Simplifying d = 7
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