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Simplifying 4(3d + 1) + -5 = 8 + -2(5d + 2) Reorder the terms: 4(1 + 3d) + -5 = 8 + -2(5d + 2) (1 * 4 + 3d * 4) + -5 = 8 + -2(5d + 2) (4 + 12d) + -5 = 8 + -2(5d + 2) Reorder the terms: 4 + -5 + 12d = 8 + -2(5d + 2) Combine like terms: 4 + -5 = -1 -1 + 12d = 8 + -2(5d + 2) Reorder the terms: -1 + 12d = 8 + -2(2 + 5d) -1 + 12d = 8 + (2 * -2 + 5d * -2) -1 + 12d = 8 + (-4 + -10d) Combine like terms: 8 + -4 = 4 -1 + 12d = 4 + -10d Solving -1 + 12d = 4 + -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. -1 + 12d + 10d = 4 + -10d + 10d Combine like terms: 12d + 10d = 22d -1 + 22d = 4 + -10d + 10d Combine like terms: -10d + 10d = 0 -1 + 22d = 4 + 0 -1 + 22d = 4 Add '1' to each side of the equation. -1 + 1 + 22d = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 22d = 4 + 1 22d = 4 + 1 Combine like terms: 4 + 1 = 5 22d = 5 Divide each side by '22'. d = 0.2272727273 Simplifying d = 0.2272727273
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