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Simplifying -5d + 3(d + -4) = 12 + -1d Reorder the terms: -5d + 3(-4 + d) = 12 + -1d -5d + (-4 * 3 + d * 3) = 12 + -1d -5d + (-12 + 3d) = 12 + -1d Reorder the terms: -12 + -5d + 3d = 12 + -1d Combine like terms: -5d + 3d = -2d -12 + -2d = 12 + -1d Solving -12 + -2d = 12 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. -12 + -2d + d = 12 + -1d + d Combine like terms: -2d + d = -1d -12 + -1d = 12 + -1d + d Combine like terms: -1d + d = 0 -12 + -1d = 12 + 0 -12 + -1d = 12 Add '12' to each side of the equation. -12 + 12 + -1d = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -1d = 12 + 12 -1d = 12 + 12 Combine like terms: 12 + 12 = 24 -1d = 24 Divide each side by '-1'. d = -24 Simplifying d = -24
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