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Simplifying 2(3r + -4) + -1(6 + -1r) + 2r + -5 = 0 Reorder the terms: 2(-4 + 3r) + -1(6 + -1r) + 2r + -5 = 0 (-4 * 2 + 3r * 2) + -1(6 + -1r) + 2r + -5 = 0 (-8 + 6r) + -1(6 + -1r) + 2r + -5 = 0 -8 + 6r + (6 * -1 + -1r * -1) + 2r + -5 = 0 -8 + 6r + (-6 + 1r) + 2r + -5 = 0 Reorder the terms: -8 + -6 + -5 + 6r + 1r + 2r = 0 Combine like terms: -8 + -6 = -14 -14 + -5 + 6r + 1r + 2r = 0 Combine like terms: -14 + -5 = -19 -19 + 6r + 1r + 2r = 0 Combine like terms: 6r + 1r = 7r -19 + 7r + 2r = 0 Combine like terms: 7r + 2r = 9r -19 + 9r = 0 Solving -19 + 9r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 9r = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 9r = 0 + 19 9r = 0 + 19 Combine like terms: 0 + 19 = 19 9r = 19 Divide each side by '9'. r = 2.111111111 Simplifying r = 2.111111111
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