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Simplifying -3(7r + -6) + 8(5r + 5) = 0 Reorder the terms: -3(-6 + 7r) + 8(5r + 5) = 0 (-6 * -3 + 7r * -3) + 8(5r + 5) = 0 (18 + -21r) + 8(5r + 5) = 0 Reorder the terms: 18 + -21r + 8(5 + 5r) = 0 18 + -21r + (5 * 8 + 5r * 8) = 0 18 + -21r + (40 + 40r) = 0 Reorder the terms: 18 + 40 + -21r + 40r = 0 Combine like terms: 18 + 40 = 58 58 + -21r + 40r = 0 Combine like terms: -21r + 40r = 19r 58 + 19r = 0 Solving 58 + 19r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + 19r = 0 + -58 Combine like terms: 58 + -58 = 0 0 + 19r = 0 + -58 19r = 0 + -58 Combine like terms: 0 + -58 = -58 19r = -58 Divide each side by '19'. r = -3.052631579 Simplifying r = -3.052631579
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