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Simplifying -6(8r + 7) + 5(2 + 6r) = 58 Reorder the terms: -6(7 + 8r) + 5(2 + 6r) = 58 (7 * -6 + 8r * -6) + 5(2 + 6r) = 58 (-42 + -48r) + 5(2 + 6r) = 58 -42 + -48r + (2 * 5 + 6r * 5) = 58 -42 + -48r + (10 + 30r) = 58 Reorder the terms: -42 + 10 + -48r + 30r = 58 Combine like terms: -42 + 10 = -32 -32 + -48r + 30r = 58 Combine like terms: -48r + 30r = -18r -32 + -18r = 58 Solving -32 + -18r = 58 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -18r = 58 + 32 Combine like terms: -32 + 32 = 0 0 + -18r = 58 + 32 -18r = 58 + 32 Combine like terms: 58 + 32 = 90 -18r = 90 Divide each side by '-18'. r = -5 Simplifying r = -5
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