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Simplifying 10x + 7r + 2 + 9x + 6r + 10 = 0 Reorder the terms: 2 + 10 + 7r + 6r + 10x + 9x = 0 Combine like terms: 2 + 10 = 12 12 + 7r + 6r + 10x + 9x = 0 Combine like terms: 7r + 6r = 13r 12 + 13r + 10x + 9x = 0 Combine like terms: 10x + 9x = 19x 12 + 13r + 19x = 0 Solving 12 + 13r + 19x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 13r + -12 + 19x = 0 + -12 Reorder the terms: 12 + -12 + 13r + 19x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 13r + 19x = 0 + -12 13r + 19x = 0 + -12 Combine like terms: 0 + -12 = -12 13r + 19x = -12 Add '-19x' to each side of the equation. 13r + 19x + -19x = -12 + -19x Combine like terms: 19x + -19x = 0 13r + 0 = -12 + -19x 13r = -12 + -19x Divide each side by '13'. r = -0.9230769231 + -1.461538462x Simplifying r = -0.9230769231 + -1.461538462x
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