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Simplifying 4(d + -3) + 8 = 4(2d + -6) Reorder the terms: 4(-3 + d) + 8 = 4(2d + -6) (-3 * 4 + d * 4) + 8 = 4(2d + -6) (-12 + 4d) + 8 = 4(2d + -6) Reorder the terms: -12 + 8 + 4d = 4(2d + -6) Combine like terms: -12 + 8 = -4 -4 + 4d = 4(2d + -6) Reorder the terms: -4 + 4d = 4(-6 + 2d) -4 + 4d = (-6 * 4 + 2d * 4) -4 + 4d = (-24 + 8d) Solving -4 + 4d = -24 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -4 + 4d + -8d = -24 + 8d + -8d Combine like terms: 4d + -8d = -4d -4 + -4d = -24 + 8d + -8d Combine like terms: 8d + -8d = 0 -4 + -4d = -24 + 0 -4 + -4d = -24 Add '4' to each side of the equation. -4 + 4 + -4d = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -4d = -24 + 4 -4d = -24 + 4 Combine like terms: -24 + 4 = -20 -4d = -20 Divide each side by '-4'. d = 5 Simplifying d = 5
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