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Simplifying 3(2r + -1) = 9(r + -5) Reorder the terms: 3(-1 + 2r) = 9(r + -5) (-1 * 3 + 2r * 3) = 9(r + -5) (-3 + 6r) = 9(r + -5) Reorder the terms: -3 + 6r = 9(-5 + r) -3 + 6r = (-5 * 9 + r * 9) -3 + 6r = (-45 + 9r) Solving -3 + 6r = -45 + 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. -3 + 6r + -9r = -45 + 9r + -9r Combine like terms: 6r + -9r = -3r -3 + -3r = -45 + 9r + -9r Combine like terms: 9r + -9r = 0 -3 + -3r = -45 + 0 -3 + -3r = -45 Add '3' to each side of the equation. -3 + 3 + -3r = -45 + 3 Combine like terms: -3 + 3 = 0 0 + -3r = -45 + 3 -3r = -45 + 3 Combine like terms: -45 + 3 = -42 -3r = -42 Divide each side by '-3'. r = 14 Simplifying r = 14
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