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Simplifying 4(d + -1) + 46 = 2d Reorder the terms: 4(-1 + d) + 46 = 2d (-1 * 4 + d * 4) + 46 = 2d (-4 + 4d) + 46 = 2d Reorder the terms: -4 + 46 + 4d = 2d Combine like terms: -4 + 46 = 42 42 + 4d = 2d Solving 42 + 4d = 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 42 + 4d + -2d = 2d + -2d Combine like terms: 4d + -2d = 2d 42 + 2d = 2d + -2d Combine like terms: 2d + -2d = 0 42 + 2d = 0 Add '-42' to each side of the equation. 42 + -42 + 2d = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 2d = 0 + -42 2d = 0 + -42 Combine like terms: 0 + -42 = -42 2d = -42 Divide each side by '2'. d = -21 Simplifying d = -21
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