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Simplifying 2d + 7 = -4d + 3(2d + -5) Reorder the terms: 7 + 2d = -4d + 3(2d + -5) Reorder the terms: 7 + 2d = -4d + 3(-5 + 2d) 7 + 2d = -4d + (-5 * 3 + 2d * 3) 7 + 2d = -4d + (-15 + 6d) Reorder the terms: 7 + 2d = -15 + -4d + 6d Combine like terms: -4d + 6d = 2d 7 + 2d = -15 + 2d Add '-2d' to each side of the equation. 7 + 2d + -2d = -15 + 2d + -2d Combine like terms: 2d + -2d = 0 7 + 0 = -15 + 2d + -2d 7 = -15 + 2d + -2d Combine like terms: 2d + -2d = 0 7 = -15 + 0 7 = -15 Solving 7 = -15 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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