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Simplifying 6r + 2(4r + -3) + -11 = 0 Reorder the terms: 6r + 2(-3 + 4r) + -11 = 0 6r + (-3 * 2 + 4r * 2) + -11 = 0 6r + (-6 + 8r) + -11 = 0 Reorder the terms: -6 + -11 + 6r + 8r = 0 Combine like terms: -6 + -11 = -17 -17 + 6r + 8r = 0 Combine like terms: 6r + 8r = 14r -17 + 14r = 0 Solving -17 + 14r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 14r = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 14r = 0 + 17 14r = 0 + 17 Combine like terms: 0 + 17 = 17 14r = 17 Divide each side by '14'. r = 1.214285714 Simplifying r = 1.214285714
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