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Simplifying -2(-5r + 2) = 1 + 3(3r + 1) Reorder the terms: -2(2 + -5r) = 1 + 3(3r + 1) (2 * -2 + -5r * -2) = 1 + 3(3r + 1) (-4 + 10r) = 1 + 3(3r + 1) Reorder the terms: -4 + 10r = 1 + 3(1 + 3r) -4 + 10r = 1 + (1 * 3 + 3r * 3) -4 + 10r = 1 + (3 + 9r) Combine like terms: 1 + 3 = 4 -4 + 10r = 4 + 9r Solving -4 + 10r = 4 + 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 = 4 + 9r + -9r Combine like terms: 10r + -9r = 1r -4 + 1r = 4 + 9r + -9r Combine like terms: 9r + -9r = 0 -4 + 1r = 4 + 0 -4 + 1r = 4 Add '4' to each side of the equation. -4 + 4 + 1r = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 1r = 4 + 4 1r = 4 + 4 Combine like terms: 4 + 4 = 8 1r = 8 Divide each side by '1'. r = 8 Simplifying r = 8
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