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Simplifying -2(3r + -9) + -4(r + -6) + -13r = 0 Reorder the terms: -2(-9 + 3r) + -4(r + -6) + -13r = 0 (-9 * -2 + 3r * -2) + -4(r + -6) + -13r = 0 (18 + -6r) + -4(r + -6) + -13r = 0 Reorder the terms: 18 + -6r + -4(-6 + r) + -13r = 0 18 + -6r + (-6 * -4 + r * -4) + -13r = 0 18 + -6r + (24 + -4r) + -13r = 0 Reorder the terms: 18 + 24 + -6r + -4r + -13r = 0 Combine like terms: 18 + 24 = 42 42 + -6r + -4r + -13r = 0 Combine like terms: -6r + -4r = -10r 42 + -10r + -13r = 0 Combine like terms: -10r + -13r = -23r 42 + -23r = 0 Solving 42 + -23r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -23r = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -23r = 0 + -42 -23r = 0 + -42 Combine like terms: 0 + -42 = -42 -23r = -42 Divide each side by '-23'. r = 1.826086957 Simplifying r = 1.826086957
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