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Simplifying 3(7r + -5) = 6(6r + 5) Reorder the terms: 3(-5 + 7r) = 6(6r + 5) (-5 * 3 + 7r * 3) = 6(6r + 5) (-15 + 21r) = 6(6r + 5) Reorder the terms: -15 + 21r = 6(5 + 6r) -15 + 21r = (5 * 6 + 6r * 6) -15 + 21r = (30 + 36r) Solving -15 + 21r = 30 + 36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-36r' to each side of the equation. -15 + 21r + -36r = 30 + 36r + -36r Combine like terms: 21r + -36r = -15r -15 + -15r = 30 + 36r + -36r Combine like terms: 36r + -36r = 0 -15 + -15r = 30 + 0 -15 + -15r = 30 Add '15' to each side of the equation. -15 + 15 + -15r = 30 + 15 Combine like terms: -15 + 15 = 0 0 + -15r = 30 + 15 -15r = 30 + 15 Combine like terms: 30 + 15 = 45 -15r = 45 Divide each side by '-15'. r = -3 Simplifying r = -3
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