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Simplifying 5(r + 1) + 6 = 3(4 + r) + (2r + -1) Reorder the terms: 5(1 + r) + 6 = 3(4 + r) + (2r + -1) (1 * 5 + r * 5) + 6 = 3(4 + r) + (2r + -1) (5 + 5r) + 6 = 3(4 + r) + (2r + -1) Reorder the terms: 5 + 6 + 5r = 3(4 + r) + (2r + -1) Combine like terms: 5 + 6 = 11 11 + 5r = 3(4 + r) + (2r + -1) 11 + 5r = (4 * 3 + r * 3) + (2r + -1) 11 + 5r = (12 + 3r) + (2r + -1) Reorder the terms: 11 + 5r = 12 + 3r + (-1 + 2r) Remove parenthesis around (-1 + 2r) 11 + 5r = 12 + 3r + -1 + 2r Reorder the terms: 11 + 5r = 12 + -1 + 3r + 2r Combine like terms: 12 + -1 = 11 11 + 5r = 11 + 3r + 2r Combine like terms: 3r + 2r = 5r 11 + 5r = 11 + 5r Add '-11' to each side of the equation. 11 + -11 + 5r = 11 + -11 + 5r Combine like terms: 11 + -11 = 0 0 + 5r = 11 + -11 + 5r 5r = 11 + -11 + 5r Combine like terms: 11 + -11 = 0 5r = 0 + 5r 5r = 5r Add '-5r' to each side of the equation. 5r + -5r = 5r + -5r Combine like terms: 5r + -5r = 0 0 = 5r + -5r Combine like terms: 5r + -5r = 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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