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Simplifying 1 + 3(d + 2) = d + 2(d + -4) Reorder the terms: 1 + 3(2 + d) = d + 2(d + -4) 1 + (2 * 3 + d * 3) = d + 2(d + -4) 1 + (6 + 3d) = d + 2(d + -4) Combine like terms: 1 + 6 = 7 7 + 3d = d + 2(d + -4) Reorder the terms: 7 + 3d = d + 2(-4 + d) 7 + 3d = d + (-4 * 2 + d * 2) 7 + 3d = d + (-8 + 2d) Reorder the terms: 7 + 3d = -8 + d + 2d Combine like terms: d + 2d = 3d 7 + 3d = -8 + 3d Add '-3d' to each side of the equation. 7 + 3d + -3d = -8 + 3d + -3d Combine like terms: 3d + -3d = 0 7 + 0 = -8 + 3d + -3d 7 = -8 + 3d + -3d Combine like terms: 3d + -3d = 0 7 = -8 + 0 7 = -8 Solving 7 = -8 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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