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Simplifying 5(r + -2) + 8 = 4r + 9 Reorder the terms: 5(-2 + r) + 8 = 4r + 9 (-2 * 5 + r * 5) + 8 = 4r + 9 (-10 + 5r) + 8 = 4r + 9 Reorder the terms: -10 + 8 + 5r = 4r + 9 Combine like terms: -10 + 8 = -2 -2 + 5r = 4r + 9 Reorder the terms: -2 + 5r = 9 + 4r Solving -2 + 5r = 9 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -2 + 5r + -4r = 9 + 4r + -4r Combine like terms: 5r + -4r = 1r -2 + 1r = 9 + 4r + -4r Combine like terms: 4r + -4r = 0 -2 + 1r = 9 + 0 -2 + 1r = 9 Add '2' to each side of the equation. -2 + 2 + 1r = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 1r = 9 + 2 1r = 9 + 2 Combine like terms: 9 + 2 = 11 1r = 11 Divide each side by '1'. r = 11 Simplifying r = 11
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