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Simplifying -16(D + 6) + 4(4d + 5) = -1d + (4d + 20) Reorder the terms: -16(6 + D) + 4(4d + 5) = -1d + (4d + 20) (6 * -16 + D * -16) + 4(4d + 5) = -1d + (4d + 20) (-96 + -16D) + 4(4d + 5) = -1d + (4d + 20) Reorder the terms: -96 + -16D + 4(5 + 4d) = -1d + (4d + 20) -96 + -16D + (5 * 4 + 4d * 4) = -1d + (4d + 20) -96 + -16D + (20 + 16d) = -1d + (4d + 20) Reorder the terms: -96 + 20 + -16D + 16d = -1d + (4d + 20) Combine like terms: -96 + 20 = -76 -76 + -16D + 16d = -1d + (4d + 20) Reorder the terms: -76 + -16D + 16d = -1d + (20 + 4d) Remove parenthesis around (20 + 4d) -76 + -16D + 16d = -1d + 20 + 4d Reorder the terms: -76 + -16D + 16d = 20 + -1d + 4d Combine like terms: -1d + 4d = 3d -76 + -16D + 16d = 20 + 3d Solving -76 + -16D + 16d = 20 + 3d Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '76' to each side of the equation. -76 + -16D + 76 + 16d = 20 + 76 + 3d Reorder the terms: -76 + 76 + -16D + 16d = 20 + 76 + 3d Combine like terms: -76 + 76 = 0 0 + -16D + 16d = 20 + 76 + 3d -16D + 16d = 20 + 76 + 3d Combine like terms: 20 + 76 = 96 -16D + 16d = 96 + 3d Add '-16d' to each side of the equation. -16D + 16d + -16d = 96 + 3d + -16d Combine like terms: 16d + -16d = 0 -16D + 0 = 96 + 3d + -16d -16D = 96 + 3d + -16d Combine like terms: 3d + -16d = -13d -16D = 96 + -13d Divide each side by '-16'. D = -6 + 0.8125d Simplifying D = -6 + 0.8125d
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