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Simplifying 12(d + -2) + -4(3 + -1d) = 12 Reorder the terms: 12(-2 + d) + -4(3 + -1d) = 12 (-2 * 12 + d * 12) + -4(3 + -1d) = 12 (-24 + 12d) + -4(3 + -1d) = 12 -24 + 12d + (3 * -4 + -1d * -4) = 12 -24 + 12d + (-12 + 4d) = 12 Reorder the terms: -24 + -12 + 12d + 4d = 12 Combine like terms: -24 + -12 = -36 -36 + 12d + 4d = 12 Combine like terms: 12d + 4d = 16d -36 + 16d = 12 Solving -36 + 16d = 12 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 16d = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 16d = 12 + 36 16d = 12 + 36 Combine like terms: 12 + 36 = 48 16d = 48 Divide each side by '16'. d = 3 Simplifying d = 3
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