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Simplifying 5(8r + -4) = 7(8 + 3r) Reorder the terms: 5(-4 + 8r) = 7(8 + 3r) (-4 * 5 + 8r * 5) = 7(8 + 3r) (-20 + 40r) = 7(8 + 3r) -20 + 40r = (8 * 7 + 3r * 7) -20 + 40r = (56 + 21r) Solving -20 + 40r = 56 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. -20 + 40r + -21r = 56 + 21r + -21r Combine like terms: 40r + -21r = 19r -20 + 19r = 56 + 21r + -21r Combine like terms: 21r + -21r = 0 -20 + 19r = 56 + 0 -20 + 19r = 56 Add '20' to each side of the equation. -20 + 20 + 19r = 56 + 20 Combine like terms: -20 + 20 = 0 0 + 19r = 56 + 20 19r = 56 + 20 Combine like terms: 56 + 20 = 76 19r = 76 Divide each side by '19'. r = 4 Simplifying r = 4
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