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Simplifying 9r + -2 = 3(r + -2) + -10(2 + -4r) Reorder the terms: -2 + 9r = 3(r + -2) + -10(2 + -4r) Reorder the terms: -2 + 9r = 3(-2 + r) + -10(2 + -4r) -2 + 9r = (-2 * 3 + r * 3) + -10(2 + -4r) -2 + 9r = (-6 + 3r) + -10(2 + -4r) -2 + 9r = -6 + 3r + (2 * -10 + -4r * -10) -2 + 9r = -6 + 3r + (-20 + 40r) Reorder the terms: -2 + 9r = -6 + -20 + 3r + 40r Combine like terms: -6 + -20 = -26 -2 + 9r = -26 + 3r + 40r Combine like terms: 3r + 40r = 43r -2 + 9r = -26 + 43r Solving -2 + 9r = -26 + 43r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-43r' to each side of the equation. -2 + 9r + -43r = -26 + 43r + -43r Combine like terms: 9r + -43r = -34r -2 + -34r = -26 + 43r + -43r Combine like terms: 43r + -43r = 0 -2 + -34r = -26 + 0 -2 + -34r = -26 Add '2' to each side of the equation. -2 + 2 + -34r = -26 + 2 Combine like terms: -2 + 2 = 0 0 + -34r = -26 + 2 -34r = -26 + 2 Combine like terms: -26 + 2 = -24 -34r = -24 Divide each side by '-34'. r = 0.7058823529 Simplifying r = 0.7058823529
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