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Simplifying -4(19 + -20d) = -3(-4d + -20) (19 * -4 + -20d * -4) = -3(-4d + -20) (-76 + 80d) = -3(-4d + -20) Reorder the terms: -76 + 80d = -3(-20 + -4d) -76 + 80d = (-20 * -3 + -4d * -3) -76 + 80d = (60 + 12d) Solving -76 + 80d = 60 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -76 + 80d + -12d = 60 + 12d + -12d Combine like terms: 80d + -12d = 68d -76 + 68d = 60 + 12d + -12d Combine like terms: 12d + -12d = 0 -76 + 68d = 60 + 0 -76 + 68d = 60 Add '76' to each side of the equation. -76 + 76 + 68d = 60 + 76 Combine like terms: -76 + 76 = 0 0 + 68d = 60 + 76 68d = 60 + 76 Combine like terms: 60 + 76 = 136 68d = 136 Divide each side by '68'. d = 2 Simplifying d = 2
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