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Simplifying 3(r + -3) + -1 = 2r + 9 Reorder the terms: 3(-3 + r) + -1 = 2r + 9 (-3 * 3 + r * 3) + -1 = 2r + 9 (-9 + 3r) + -1 = 2r + 9 Reorder the terms: -9 + -1 + 3r = 2r + 9 Combine like terms: -9 + -1 = -10 -10 + 3r = 2r + 9 Reorder the terms: -10 + 3r = 9 + 2r Solving -10 + 3r = 9 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -10 + 3r + -2r = 9 + 2r + -2r Combine like terms: 3r + -2r = 1r -10 + 1r = 9 + 2r + -2r Combine like terms: 2r + -2r = 0 -10 + 1r = 9 + 0 -10 + 1r = 9 Add '10' to each side of the equation. -10 + 10 + 1r = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 1r = 9 + 10 1r = 9 + 10 Combine like terms: 9 + 10 = 19 1r = 19 Divide each side by '1'. r = 19 Simplifying r = 19
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