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Simplifying 6(r + -3) = -3r + 9 Reorder the terms: 6(-3 + r) = -3r + 9 (-3 * 6 + r * 6) = -3r + 9 (-18 + 6r) = -3r + 9 Reorder the terms: -18 + 6r = 9 + -3r Solving -18 + 6r = 9 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -18 + 6r + 3r = 9 + -3r + 3r Combine like terms: 6r + 3r = 9r -18 + 9r = 9 + -3r + 3r Combine like terms: -3r + 3r = 0 -18 + 9r = 9 + 0 -18 + 9r = 9 Add '18' to each side of the equation. -18 + 18 + 9r = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 9r = 9 + 18 9r = 9 + 18 Combine like terms: 9 + 18 = 27 9r = 27 Divide each side by '9'. r = 3 Simplifying r = 3
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