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Simplifying 4(3 + -1d) = (d + 5) (3 * 4 + -1d * 4) = (d + 5) (12 + -4d) = (d + 5) Reorder the terms: 12 + -4d = (5 + d) Remove parenthesis around (5 + d) 12 + -4d = 5 + d Solving 12 + -4d = 5 + d 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. 12 + -4d + -1d = 5 + d + -1d Combine like terms: -4d + -1d = -5d 12 + -5d = 5 + d + -1d Combine like terms: d + -1d = 0 12 + -5d = 5 + 0 12 + -5d = 5 Add '-12' to each side of the equation. 12 + -12 + -5d = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -5d = 5 + -12 -5d = 5 + -12 Combine like terms: 5 + -12 = -7 -5d = -7 Divide each side by '-5'. d = 1.4 Simplifying d = 1.4
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