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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 = -32 -32 + 5d + 4d = 3(3d + -10) + -2 Combine like terms: 5d + 4d = 9d -32 + 9d = 3(3d + -10) + -2 Reorder the terms: -32 + 9d = 3(-10 + 3d) + -2 -32 + 9d = (-10 * 3 + 3d * 3) + -2 -32 + 9d = (-30 + 9d) + -2 Reorder the terms: -32 + 9d = -30 + -2 + 9d Combine like terms: -30 + -2 = -32 -32 + 9d = -32 + 9d Add '32' to each side of the equation. -32 + 32 + 9d = -32 + 32 + 9d Combine like terms: -32 + 32 = 0 0 + 9d = -32 + 32 + 9d 9d = -32 + 32 + 9d Combine like terms: -32 + 32 = 0 9d = 0 + 9d 9d = 9d Add '-9d' to each side of the equation. 9d + -9d = 9d + -9d Combine like terms: 9d + -9d = 0 0 = 9d + -9d Combine like terms: 9d + -9d = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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