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Simplifying 4(d + -2) = 3d + 1 Reorder the terms: 4(-2 + d) = 3d + 1 (-2 * 4 + d * 4) = 3d + 1 (-8 + 4d) = 3d + 1 Reorder the terms: -8 + 4d = 1 + 3d Solving -8 + 4d = 1 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -8 + 4d + -3d = 1 + 3d + -3d Combine like terms: 4d + -3d = 1d -8 + 1d = 1 + 3d + -3d Combine like terms: 3d + -3d = 0 -8 + 1d = 1 + 0 -8 + 1d = 1 Add '8' to each side of the equation. -8 + 8 + 1d = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 1d = 1 + 8 1d = 1 + 8 Combine like terms: 1 + 8 = 9 1d = 9 Divide each side by '1'. d = 9 Simplifying d = 9
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