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Simplifying 3(5 + -6r) + 3 = 3(-3r + 6) (5 * 3 + -6r * 3) + 3 = 3(-3r + 6) (15 + -18r) + 3 = 3(-3r + 6) Reorder the terms: 15 + 3 + -18r = 3(-3r + 6) Combine like terms: 15 + 3 = 18 18 + -18r = 3(-3r + 6) Reorder the terms: 18 + -18r = 3(6 + -3r) 18 + -18r = (6 * 3 + -3r * 3) 18 + -18r = (18 + -9r) Add '-18' to each side of the equation. 18 + -18 + -18r = 18 + -18 + -9r Combine like terms: 18 + -18 = 0 0 + -18r = 18 + -18 + -9r -18r = 18 + -18 + -9r Combine like terms: 18 + -18 = 0 -18r = 0 + -9r -18r = -9r Solving -18r = -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. -18r + 9r = -9r + 9r Combine like terms: -18r + 9r = -9r -9r = -9r + 9r Combine like terms: -9r + 9r = 0 -9r = 0 Divide each side by '-9'. r = 0 Simplifying r = 0
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