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Simplifying -2(4 + -9r) = (10 + 10r) (4 * -2 + -9r * -2) = (10 + 10r) (-8 + 18r) = (10 + 10r) Remove parenthesis around (10 + 10r) -8 + 18r = 10 + 10r Solving -8 + 18r = 10 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -8 + 18r + -10r = 10 + 10r + -10r Combine like terms: 18r + -10r = 8r -8 + 8r = 10 + 10r + -10r Combine like terms: 10r + -10r = 0 -8 + 8r = 10 + 0 -8 + 8r = 10 Add '8' to each side of the equation. -8 + 8 + 8r = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 8r = 10 + 8 8r = 10 + 8 Combine like terms: 10 + 8 = 18 8r = 18 Divide each side by '8'. r = 2.25 Simplifying r = 2.25
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