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Simplifying 8(5d + -4) + 12 = 13d + -3 Reorder the terms: 8(-4 + 5d) + 12 = 13d + -3 (-4 * 8 + 5d * 8) + 12 = 13d + -3 (-32 + 40d) + 12 = 13d + -3 Reorder the terms: -32 + 12 + 40d = 13d + -3 Combine like terms: -32 + 12 = -20 -20 + 40d = 13d + -3 Reorder the terms: -20 + 40d = -3 + 13d Solving -20 + 40d = -3 + 13d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13d' to each side of the equation. -20 + 40d + -13d = -3 + 13d + -13d Combine like terms: 40d + -13d = 27d -20 + 27d = -3 + 13d + -13d Combine like terms: 13d + -13d = 0 -20 + 27d = -3 + 0 -20 + 27d = -3 Add '20' to each side of the equation. -20 + 20 + 27d = -3 + 20 Combine like terms: -20 + 20 = 0 0 + 27d = -3 + 20 27d = -3 + 20 Combine like terms: -3 + 20 = 17 27d = 17 Divide each side by '27'. d = 0.6296296296 Simplifying d = 0.6296296296
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