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Simplifying 13r + -3(r + -3) = 3(4r + -5) + -6 Reorder the terms: 13r + -3(-3 + r) = 3(4r + -5) + -6 13r + (-3 * -3 + r * -3) = 3(4r + -5) + -6 13r + (9 + -3r) = 3(4r + -5) + -6 Reorder the terms: 9 + 13r + -3r = 3(4r + -5) + -6 Combine like terms: 13r + -3r = 10r 9 + 10r = 3(4r + -5) + -6 Reorder the terms: 9 + 10r = 3(-5 + 4r) + -6 9 + 10r = (-5 * 3 + 4r * 3) + -6 9 + 10r = (-15 + 12r) + -6 Reorder the terms: 9 + 10r = -15 + -6 + 12r Combine like terms: -15 + -6 = -21 9 + 10r = -21 + 12r Solving 9 + 10r = -21 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 9 + 10r + -12r = -21 + 12r + -12r Combine like terms: 10r + -12r = -2r 9 + -2r = -21 + 12r + -12r Combine like terms: 12r + -12r = 0 9 + -2r = -21 + 0 9 + -2r = -21 Add '-9' to each side of the equation. 9 + -9 + -2r = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -2r = -21 + -9 -2r = -21 + -9 Combine like terms: -21 + -9 = -30 -2r = -30 Divide each side by '-2'. r = 15 Simplifying r = 15
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