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Simplifying 6(r + -3) + -5 = 5r + -11 + 3 Reorder the terms: 6(-3 + r) + -5 = 5r + -11 + 3 (-3 * 6 + r * 6) + -5 = 5r + -11 + 3 (-18 + 6r) + -5 = 5r + -11 + 3 Reorder the terms: -18 + -5 + 6r = 5r + -11 + 3 Combine like terms: -18 + -5 = -23 -23 + 6r = 5r + -11 + 3 Reorder the terms: -23 + 6r = -11 + 3 + 5r Combine like terms: -11 + 3 = -8 -23 + 6r = -8 + 5r Solving -23 + 6r = -8 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -23 + 6r + -5r = -8 + 5r + -5r Combine like terms: 6r + -5r = 1r -23 + 1r = -8 + 5r + -5r Combine like terms: 5r + -5r = 0 -23 + 1r = -8 + 0 -23 + 1r = -8 Add '23' to each side of the equation. -23 + 23 + 1r = -8 + 23 Combine like terms: -23 + 23 = 0 0 + 1r = -8 + 23 1r = -8 + 23 Combine like terms: -8 + 23 = 15 1r = 15 Divide each side by '1'. r = 15 Simplifying r = 15
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