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Simplifying 5(r + 3) + -3(r + 3) = 2r + 6 Reorder the terms: 5(3 + r) + -3(r + 3) = 2r + 6 (3 * 5 + r * 5) + -3(r + 3) = 2r + 6 (15 + 5r) + -3(r + 3) = 2r + 6 Reorder the terms: 15 + 5r + -3(3 + r) = 2r + 6 15 + 5r + (3 * -3 + r * -3) = 2r + 6 15 + 5r + (-9 + -3r) = 2r + 6 Reorder the terms: 15 + -9 + 5r + -3r = 2r + 6 Combine like terms: 15 + -9 = 6 6 + 5r + -3r = 2r + 6 Combine like terms: 5r + -3r = 2r 6 + 2r = 2r + 6 Reorder the terms: 6 + 2r = 6 + 2r Add '-6' to each side of the equation. 6 + -6 + 2r = 6 + -6 + 2r Combine like terms: 6 + -6 = 0 0 + 2r = 6 + -6 + 2r 2r = 6 + -6 + 2r Combine like terms: 6 + -6 = 0 2r = 0 + 2r 2r = 2r Add '-2r' to each side of the equation. 2r + -2r = 2r + -2r Combine like terms: 2r + -2r = 0 0 = 2r + -2r Combine like terms: 2r + -2r = 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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