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Simplifying 4(5d + -8) + 25 = 11d + -2(3d + -4) Reorder the terms: 4(-8 + 5d) + 25 = 11d + -2(3d + -4) (-8 * 4 + 5d * 4) + 25 = 11d + -2(3d + -4) (-32 + 20d) + 25 = 11d + -2(3d + -4) Reorder the terms: -32 + 25 + 20d = 11d + -2(3d + -4) Combine like terms: -32 + 25 = -7 -7 + 20d = 11d + -2(3d + -4) Reorder the terms: -7 + 20d = 11d + -2(-4 + 3d) -7 + 20d = 11d + (-4 * -2 + 3d * -2) -7 + 20d = 11d + (8 + -6d) Reorder the terms: -7 + 20d = 8 + 11d + -6d Combine like terms: 11d + -6d = 5d -7 + 20d = 8 + 5d Solving -7 + 20d = 8 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -7 + 20d + -5d = 8 + 5d + -5d Combine like terms: 20d + -5d = 15d -7 + 15d = 8 + 5d + -5d Combine like terms: 5d + -5d = 0 -7 + 15d = 8 + 0 -7 + 15d = 8 Add '7' to each side of the equation. -7 + 7 + 15d = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 15d = 8 + 7 15d = 8 + 7 Combine like terms: 8 + 7 = 15 15d = 15 Divide each side by '15'. d = 1 Simplifying d = 1
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