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Simplifying 5(r + -3) + 6r = 3(2 + -1r) Reorder the terms: 5(-3 + r) + 6r = 3(2 + -1r) (-3 * 5 + r * 5) + 6r = 3(2 + -1r) (-15 + 5r) + 6r = 3(2 + -1r) Combine like terms: 5r + 6r = 11r -15 + 11r = 3(2 + -1r) -15 + 11r = (2 * 3 + -1r * 3) -15 + 11r = (6 + -3r) Solving -15 + 11r = 6 + -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. -15 + 11r + 3r = 6 + -3r + 3r Combine like terms: 11r + 3r = 14r -15 + 14r = 6 + -3r + 3r Combine like terms: -3r + 3r = 0 -15 + 14r = 6 + 0 -15 + 14r = 6 Add '15' to each side of the equation. -15 + 15 + 14r = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 14r = 6 + 15 14r = 6 + 15 Combine like terms: 6 + 15 = 21 14r = 21 Divide each side by '14'. r = 1.5 Simplifying r = 1.5
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