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Simplifying 3(6r + -5) + 2r = 3(r + -5) + -5 Reorder the terms: 3(-5 + 6r) + 2r = 3(r + -5) + -5 (-5 * 3 + 6r * 3) + 2r = 3(r + -5) + -5 (-15 + 18r) + 2r = 3(r + -5) + -5 Combine like terms: 18r + 2r = 20r -15 + 20r = 3(r + -5) + -5 Reorder the terms: -15 + 20r = 3(-5 + r) + -5 -15 + 20r = (-5 * 3 + r * 3) + -5 -15 + 20r = (-15 + 3r) + -5 Reorder the terms: -15 + 20r = -15 + -5 + 3r Combine like terms: -15 + -5 = -20 -15 + 20r = -20 + 3r Solving -15 + 20r = -20 + 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 + 20r + -3r = -20 + 3r + -3r Combine like terms: 20r + -3r = 17r -15 + 17r = -20 + 3r + -3r Combine like terms: 3r + -3r = 0 -15 + 17r = -20 + 0 -15 + 17r = -20 Add '15' to each side of the equation. -15 + 15 + 17r = -20 + 15 Combine like terms: -15 + 15 = 0 0 + 17r = -20 + 15 17r = -20 + 15 Combine like terms: -20 + 15 = -5 17r = -5 Divide each side by '17'. r = -0.2941176471 Simplifying r = -0.2941176471
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