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Simplifying 4(2d + -1) = d + 3 Reorder the terms: 4(-1 + 2d) = d + 3 (-1 * 4 + 2d * 4) = d + 3 (-4 + 8d) = d + 3 Reorder the terms: -4 + 8d = 3 + d Solving -4 + 8d = 3 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -4 + 8d + -1d = 3 + d + -1d Combine like terms: 8d + -1d = 7d -4 + 7d = 3 + d + -1d Combine like terms: d + -1d = 0 -4 + 7d = 3 + 0 -4 + 7d = 3 Add '4' to each side of the equation. -4 + 4 + 7d = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 7d = 3 + 4 7d = 3 + 4 Combine like terms: 3 + 4 = 7 7d = 7 Divide each side by '7'. d = 1 Simplifying d = 1
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