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Simplifying 2(5r + -2) = 9r + 1 Reorder the terms: 2(-2 + 5r) = 9r + 1 (-2 * 2 + 5r * 2) = 9r + 1 (-4 + 10r) = 9r + 1 Reorder the terms: -4 + 10r = 1 + 9r Solving -4 + 10r = 1 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -4 + 10r + -9r = 1 + 9r + -9r Combine like terms: 10r + -9r = 1r -4 + 1r = 1 + 9r + -9r Combine like terms: 9r + -9r = 0 -4 + 1r = 1 + 0 -4 + 1r = 1 Add '4' to each side of the equation. -4 + 4 + 1r = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 1r = 1 + 4 1r = 1 + 4 Combine like terms: 1 + 4 = 5 1r = 5 Divide each side by '1'. r = 5 Simplifying r = 5
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