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Simplifying -3r + -0.5(6r + 4) = 8r + 9 Reorder the terms: -3r + -0.5(4 + 6r) = 8r + 9 -3r + (4 * -0.5 + 6r * -0.5) = 8r + 9 -3r + (-2 + -3r) = 8r + 9 Reorder the terms: -2 + -3r + -3r = 8r + 9 Combine like terms: -3r + -3r = -6r -2 + -6r = 8r + 9 Reorder the terms: -2 + -6r = 9 + 8r Solving -2 + -6r = 9 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -2 + -6r + -8r = 9 + 8r + -8r Combine like terms: -6r + -8r = -14r -2 + -14r = 9 + 8r + -8r Combine like terms: 8r + -8r = 0 -2 + -14r = 9 + 0 -2 + -14r = 9 Add '2' to each side of the equation. -2 + 2 + -14r = 9 + 2 Combine like terms: -2 + 2 = 0 0 + -14r = 9 + 2 -14r = 9 + 2 Combine like terms: 9 + 2 = 11 -14r = 11 Divide each side by '-14'. r = -0.7857142857 Simplifying r = -0.7857142857
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