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Simplifying -2(5r + 9) + 2 = (r + -3) Reorder the terms: -2(9 + 5r) + 2 = (r + -3) (9 * -2 + 5r * -2) + 2 = (r + -3) (-18 + -10r) + 2 = (r + -3) Reorder the terms: -18 + 2 + -10r = (r + -3) Combine like terms: -18 + 2 = -16 -16 + -10r = (r + -3) Reorder the terms: -16 + -10r = (-3 + r) Remove parenthesis around (-3 + r) -16 + -10r = -3 + r Solving -16 + -10r = -3 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -16 + -10r + -1r = -3 + r + -1r Combine like terms: -10r + -1r = -11r -16 + -11r = -3 + r + -1r Combine like terms: r + -1r = 0 -16 + -11r = -3 + 0 -16 + -11r = -3 Add '16' to each side of the equation. -16 + 16 + -11r = -3 + 16 Combine like terms: -16 + 16 = 0 0 + -11r = -3 + 16 -11r = -3 + 16 Combine like terms: -3 + 16 = 13 -11r = 13 Divide each side by '-11'. r = -1.181818182 Simplifying r = -1.181818182
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