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Simplifying 4(5d + -2) + -6d = 5(2d + 4) Reorder the terms: 4(-2 + 5d) + -6d = 5(2d + 4) (-2 * 4 + 5d * 4) + -6d = 5(2d + 4) (-8 + 20d) + -6d = 5(2d + 4) Combine like terms: 20d + -6d = 14d -8 + 14d = 5(2d + 4) Reorder the terms: -8 + 14d = 5(4 + 2d) -8 + 14d = (4 * 5 + 2d * 5) -8 + 14d = (20 + 10d) Solving -8 + 14d = 20 + 10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10d' to each side of the equation. -8 + 14d + -10d = 20 + 10d + -10d Combine like terms: 14d + -10d = 4d -8 + 4d = 20 + 10d + -10d Combine like terms: 10d + -10d = 0 -8 + 4d = 20 + 0 -8 + 4d = 20 Add '8' to each side of the equation. -8 + 8 + 4d = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 4d = 20 + 8 4d = 20 + 8 Combine like terms: 20 + 8 = 28 4d = 28 Divide each side by '4'. d = 7 Simplifying d = 7
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