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Simplifying 1d + -12 = 4(1d + -6) Reorder the terms: -12 + 1d = 4(1d + -6) Reorder the terms: -12 + 1d = 4(-6 + 1d) -12 + 1d = (-6 * 4 + 1d * 4) -12 + 1d = (-24 + 4d) Solving -12 + 1d = -24 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -12 + 1d + -4d = -24 + 4d + -4d Combine like terms: 1d + -4d = -3d -12 + -3d = -24 + 4d + -4d Combine like terms: 4d + -4d = 0 -12 + -3d = -24 + 0 -12 + -3d = -24 Add '12' to each side of the equation. -12 + 12 + -3d = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -3d = -24 + 12 -3d = -24 + 12 Combine like terms: -24 + 12 = -12 -3d = -12 Divide each side by '-3'. d = 4 Simplifying d = 4
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