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Simplifying 3(6r + -5) + 2r = 3(r + -5) + -5r Reorder the terms: 3(-5 + 6r) + 2r = 3(r + -5) + -5r (-5 * 3 + 6r * 3) + 2r = 3(r + -5) + -5r (-15 + 18r) + 2r = 3(r + -5) + -5r Combine like terms: 18r + 2r = 20r -15 + 20r = 3(r + -5) + -5r Reorder the terms: -15 + 20r = 3(-5 + r) + -5r -15 + 20r = (-5 * 3 + r * 3) + -5r -15 + 20r = (-15 + 3r) + -5r Combine like terms: 3r + -5r = -2r -15 + 20r = -15 + -2r Add '15' to each side of the equation. -15 + 15 + 20r = -15 + 15 + -2r Combine like terms: -15 + 15 = 0 0 + 20r = -15 + 15 + -2r 20r = -15 + 15 + -2r Combine like terms: -15 + 15 = 0 20r = 0 + -2r 20r = -2r Solving 20r = -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 20r + 2r = -2r + 2r Combine like terms: 20r + 2r = 22r 22r = -2r + 2r Combine like terms: -2r + 2r = 0 22r = 0 Divide each side by '22'. r = 0 Simplifying r = 0
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