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Simplifying 2[3 + -1(5 + -5r)] + -1r = -10 + 3(2 + 3r) 2[3 + (5 * -1 + -5r * -1)] + -1r = -10 + 3(2 + 3r) 2[3 + (-5 + 5r)] + -1r = -10 + 3(2 + 3r) Combine like terms: 3 + -5 = -2 2[-2 + 5r] + -1r = -10 + 3(2 + 3r) [-2 * 2 + 5r * 2] + -1r = -10 + 3(2 + 3r) [-4 + 10r] + -1r = -10 + 3(2 + 3r) Combine like terms: 10r + -1r = 9r -4 + 9r = -10 + 3(2 + 3r) -4 + 9r = -10 + (2 * 3 + 3r * 3) -4 + 9r = -10 + (6 + 9r) Combine like terms: -10 + 6 = -4 -4 + 9r = -4 + 9r Add '4' to each side of the equation. -4 + 4 + 9r = -4 + 4 + 9r Combine like terms: -4 + 4 = 0 0 + 9r = -4 + 4 + 9r 9r = -4 + 4 + 9r Combine like terms: -4 + 4 = 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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