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Simplifying 5(d + -7) + 4d + -3 = 3(3d + -10) + -2 Reorder the terms: 5(-7 + d) + 4d + -3 = 3(3d + -10) + -2 (-7 * 5 + d * 5) + 4d + -3 = 3(3d + -10) + -2 (-35 + 5d) + 4d + -3 = 3(3d + -10) + -2 Reorder the terms: -35 + -3 + 5d + 4d = 3(3d + -10) + -2 Combine like terms: -35 + -3 = -38 -38 + 5d + 4d = 3(3d + -10) + -2 Combine like terms: 5d + 4d = 9d -38 + 9d = 3(3d + -10) + -2 Reorder the terms: -38 + 9d = 3(-10 + 3d) + -2 -38 + 9d = (-10 * 3 + 3d * 3) + -2 -38 + 9d = (-30 + 9d) + -2 Reorder the terms: -38 + 9d = -30 + -2 + 9d Combine like terms: -30 + -2 = -32 -38 + 9d = -32 + 9d Add '-9d' to each side of the equation. -38 + 9d + -9d = -32 + 9d + -9d Combine like terms: 9d + -9d = 0 -38 + 0 = -32 + 9d + -9d -38 = -32 + 9d + -9d Combine like terms: 9d + -9d = 0 -38 = -32 + 0 -38 = -32 Solving -38 = -32 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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