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Simplifying 46 = 2(4d + -1) Reorder the terms: 46 = 2(-1 + 4d) 46 = (-1 * 2 + 4d * 2) 46 = (-2 + 8d) Solving 46 = -2 + 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. 46 + -8d = -2 + 8d + -8d Combine like terms: 8d + -8d = 0 46 + -8d = -2 + 0 46 + -8d = -2 Add '-46' to each side of the equation. 46 + -46 + -8d = -2 + -46 Combine like terms: 46 + -46 = 0 0 + -8d = -2 + -46 -8d = -2 + -46 Combine like terms: -2 + -46 = -48 -8d = -48 Divide each side by '-8'. d = 6 Simplifying d = 6
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