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Simplifying 9[8 + -1(1 + 3r)] + 12r = 5(6 + -5r) + 10r 9[8 + (1 * -1 + 3r * -1)] + 12r = 5(6 + -5r) + 10r 9[8 + (-1 + -3r)] + 12r = 5(6 + -5r) + 10r Combine like terms: 8 + -1 = 7 9[7 + -3r] + 12r = 5(6 + -5r) + 10r [7 * 9 + -3r * 9] + 12r = 5(6 + -5r) + 10r [63 + -27r] + 12r = 5(6 + -5r) + 10r Combine like terms: -27r + 12r = -15r 63 + -15r = 5(6 + -5r) + 10r 63 + -15r = (6 * 5 + -5r * 5) + 10r 63 + -15r = (30 + -25r) + 10r Combine like terms: -25r + 10r = -15r 63 + -15r = 30 + -15r Add '15r' to each side of the equation. 63 + -15r + 15r = 30 + -15r + 15r Combine like terms: -15r + 15r = 0 63 + 0 = 30 + -15r + 15r 63 = 30 + -15r + 15r Combine like terms: -15r + 15r = 0 63 = 30 + 0 63 = 30 Solving 63 = 30 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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