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Simplifying 4(3d + -5) = 8d + -7d + 14 Reorder the terms: 4(-5 + 3d) = 8d + -7d + 14 (-5 * 4 + 3d * 4) = 8d + -7d + 14 (-20 + 12d) = 8d + -7d + 14 Reorder the terms: -20 + 12d = 14 + 8d + -7d Combine like terms: 8d + -7d = 1d -20 + 12d = 14 + 1d Solving -20 + 12d = 14 + 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. -20 + 12d + -1d = 14 + 1d + -1d Combine like terms: 12d + -1d = 11d -20 + 11d = 14 + 1d + -1d Combine like terms: 1d + -1d = 0 -20 + 11d = 14 + 0 -20 + 11d = 14 Add '20' to each side of the equation. -20 + 20 + 11d = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 11d = 14 + 20 11d = 14 + 20 Combine like terms: 14 + 20 = 34 11d = 34 Divide each side by '11'. d = 3.090909091 Simplifying d = 3.090909091
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