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Simplifying 6d + -1(d + 12) = 0.5(2d + -6) Reorder the terms: 6d + -1(12 + d) = 0.5(2d + -6) 6d + (12 * -1 + d * -1) = 0.5(2d + -6) 6d + (-12 + -1d) = 0.5(2d + -6) Reorder the terms: -12 + 6d + -1d = 0.5(2d + -6) Combine like terms: 6d + -1d = 5d -12 + 5d = 0.5(2d + -6) Reorder the terms: -12 + 5d = 0.5(-6 + 2d) -12 + 5d = (-6 * 0.5 + 2d * 0.5) -12 + 5d = (-3 + 1d) Solving -12 + 5d = -3 + 1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -12 + 5d + -1d = -3 + 1d + -1d Combine like terms: 5d + -1d = 4d -12 + 4d = -3 + 1d + -1d Combine like terms: 1d + -1d = 0 -12 + 4d = -3 + 0 -12 + 4d = -3 Add '12' to each side of the equation. -12 + 12 + 4d = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 4d = -3 + 12 4d = -3 + 12 Combine like terms: -3 + 12 = 9 4d = 9 Divide each side by '4'. d = 2.25 Simplifying d = 2.25
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