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Simplifying 3(3d + -8) + -5 = 9(d + 2) + 1 Reorder the terms: 3(-8 + 3d) + -5 = 9(d + 2) + 1 (-8 * 3 + 3d * 3) + -5 = 9(d + 2) + 1 (-24 + 9d) + -5 = 9(d + 2) + 1 Reorder the terms: -24 + -5 + 9d = 9(d + 2) + 1 Combine like terms: -24 + -5 = -29 -29 + 9d = 9(d + 2) + 1 Reorder the terms: -29 + 9d = 9(2 + d) + 1 -29 + 9d = (2 * 9 + d * 9) + 1 -29 + 9d = (18 + 9d) + 1 Reorder the terms: -29 + 9d = 18 + 1 + 9d Combine like terms: 18 + 1 = 19 -29 + 9d = 19 + 9d Add '-9d' to each side of the equation. -29 + 9d + -9d = 19 + 9d + -9d Combine like terms: 9d + -9d = 0 -29 + 0 = 19 + 9d + -9d -29 = 19 + 9d + -9d Combine like terms: 9d + -9d = 0 -29 = 19 + 0 -29 = 19 Solving -29 = 19 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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