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Simplifying 2[3 + -1(9 + -5r)] + -1r = -18 + 3(2 + 3r) 2[3 + (9 * -1 + -5r * -1)] + -1r = -18 + 3(2 + 3r) 2[3 + (-9 + 5r)] + -1r = -18 + 3(2 + 3r) Combine like terms: 3 + -9 = -6 2[-6 + 5r] + -1r = -18 + 3(2 + 3r) [-6 * 2 + 5r * 2] + -1r = -18 + 3(2 + 3r) [-12 + 10r] + -1r = -18 + 3(2 + 3r) Combine like terms: 10r + -1r = 9r -12 + 9r = -18 + 3(2 + 3r) -12 + 9r = -18 + (2 * 3 + 3r * 3) -12 + 9r = -18 + (6 + 9r) Combine like terms: -18 + 6 = -12 -12 + 9r = -12 + 9r Add '12' to each side of the equation. -12 + 12 + 9r = -12 + 12 + 9r Combine like terms: -12 + 12 = 0 0 + 9r = -12 + 12 + 9r 9r = -12 + 12 + 9r Combine like terms: -12 + 12 = 0 9r = 0 + 9r 9r = 9r Add '-9r' to each side of the equation. 9r + -9r = 9r + -9r Combine like terms: 9r + -9r = 0 0 = 9r + -9r Combine like terms: 9r + -9r = 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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