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Simplifying 3(r + -3) = 6(r + 4) Reorder the terms: 3(-3 + r) = 6(r + 4) (-3 * 3 + r * 3) = 6(r + 4) (-9 + 3r) = 6(r + 4) Reorder the terms: -9 + 3r = 6(4 + r) -9 + 3r = (4 * 6 + r * 6) -9 + 3r = (24 + 6r) Solving -9 + 3r = 24 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -9 + 3r + -6r = 24 + 6r + -6r Combine like terms: 3r + -6r = -3r -9 + -3r = 24 + 6r + -6r Combine like terms: 6r + -6r = 0 -9 + -3r = 24 + 0 -9 + -3r = 24 Add '9' to each side of the equation. -9 + 9 + -3r = 24 + 9 Combine like terms: -9 + 9 = 0 0 + -3r = 24 + 9 -3r = 24 + 9 Combine like terms: 24 + 9 = 33 -3r = 33 Divide each side by '-3'. r = -11 Simplifying r = -11
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