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Simplifying 5(2r + -3) + 7(2 + -1r) = 3(r + 2) + -7 Reorder the terms: 5(-3 + 2r) + 7(2 + -1r) = 3(r + 2) + -7 (-3 * 5 + 2r * 5) + 7(2 + -1r) = 3(r + 2) + -7 (-15 + 10r) + 7(2 + -1r) = 3(r + 2) + -7 -15 + 10r + (2 * 7 + -1r * 7) = 3(r + 2) + -7 -15 + 10r + (14 + -7r) = 3(r + 2) + -7 Reorder the terms: -15 + 14 + 10r + -7r = 3(r + 2) + -7 Combine like terms: -15 + 14 = -1 -1 + 10r + -7r = 3(r + 2) + -7 Combine like terms: 10r + -7r = 3r -1 + 3r = 3(r + 2) + -7 Reorder the terms: -1 + 3r = 3(2 + r) + -7 -1 + 3r = (2 * 3 + r * 3) + -7 -1 + 3r = (6 + 3r) + -7 Reorder the terms: -1 + 3r = 6 + -7 + 3r Combine like terms: 6 + -7 = -1 -1 + 3r = -1 + 3r Add '1' to each side of the equation. -1 + 1 + 3r = -1 + 1 + 3r Combine like terms: -1 + 1 = 0 0 + 3r = -1 + 1 + 3r 3r = -1 + 1 + 3r Combine like terms: -1 + 1 = 0 3r = 0 + 3r 3r = 3r Add '-3r' to each side of the equation. 3r + -3r = 3r + -3r Combine like terms: 3r + -3r = 0 0 = 3r + -3r Combine like terms: 3r + -3r = 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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