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Simplifying 19d + 20 = -4(-5d + -2) Reorder the terms: 20 + 19d = -4(-5d + -2) Reorder the terms: 20 + 19d = -4(-2 + -5d) 20 + 19d = (-2 * -4 + -5d * -4) 20 + 19d = (8 + 20d) Solving 20 + 19d = 8 + 20d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-20d' to each side of the equation. 20 + 19d + -20d = 8 + 20d + -20d Combine like terms: 19d + -20d = -1d 20 + -1d = 8 + 20d + -20d Combine like terms: 20d + -20d = 0 20 + -1d = 8 + 0 20 + -1d = 8 Add '-20' to each side of the equation. 20 + -20 + -1d = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -1d = 8 + -20 -1d = 8 + -20 Combine like terms: 8 + -20 = -12 -1d = -12 Divide each side by '-1'. d = 12 Simplifying d = 12
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