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Simplifying 4(d + 2) + -2d + 3 = (2 + d) Reorder the terms: 4(2 + d) + -2d + 3 = (2 + d) (2 * 4 + d * 4) + -2d + 3 = (2 + d) (8 + 4d) + -2d + 3 = (2 + d) Reorder the terms: 8 + 3 + 4d + -2d = (2 + d) Combine like terms: 8 + 3 = 11 11 + 4d + -2d = (2 + d) Combine like terms: 4d + -2d = 2d 11 + 2d = (2 + d) Remove parenthesis around (2 + d) 11 + 2d = 2 + d Solving 11 + 2d = 2 + 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. 11 + 2d + -1d = 2 + d + -1d Combine like terms: 2d + -1d = 1d 11 + 1d = 2 + d + -1d Combine like terms: d + -1d = 0 11 + 1d = 2 + 0 11 + 1d = 2 Add '-11' to each side of the equation. 11 + -11 + 1d = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 1d = 2 + -11 1d = 2 + -11 Combine like terms: 2 + -11 = -9 1d = -9 Divide each side by '1'. d = -9 Simplifying d = -9
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