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Simplifying 2(d + -4) = 4(2d + 1) Reorder the terms: 2(-4 + d) = 4(2d + 1) (-4 * 2 + d * 2) = 4(2d + 1) (-8 + 2d) = 4(2d + 1) Reorder the terms: -8 + 2d = 4(1 + 2d) -8 + 2d = (1 * 4 + 2d * 4) -8 + 2d = (4 + 8d) Solving -8 + 2d = 4 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -8 + 2d + -8d = 4 + 8d + -8d Combine like terms: 2d + -8d = -6d -8 + -6d = 4 + 8d + -8d Combine like terms: 8d + -8d = 0 -8 + -6d = 4 + 0 -8 + -6d = 4 Add '8' to each side of the equation. -8 + 8 + -6d = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -6d = 4 + 8 -6d = 4 + 8 Combine like terms: 4 + 8 = 12 -6d = 12 Divide each side by '-6'. d = -2 Simplifying d = -2
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