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Simplifying -7 + 4(r + 7) = 5(-2 + 7r) Reorder the terms: -7 + 4(7 + r) = 5(-2 + 7r) -7 + (7 * 4 + r * 4) = 5(-2 + 7r) -7 + (28 + 4r) = 5(-2 + 7r) Combine like terms: -7 + 28 = 21 21 + 4r = 5(-2 + 7r) 21 + 4r = (-2 * 5 + 7r * 5) 21 + 4r = (-10 + 35r) Solving 21 + 4r = -10 + 35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35r' to each side of the equation. 21 + 4r + -35r = -10 + 35r + -35r Combine like terms: 4r + -35r = -31r 21 + -31r = -10 + 35r + -35r Combine like terms: 35r + -35r = 0 21 + -31r = -10 + 0 21 + -31r = -10 Add '-21' to each side of the equation. 21 + -21 + -31r = -10 + -21 Combine like terms: 21 + -21 = 0 0 + -31r = -10 + -21 -31r = -10 + -21 Combine like terms: -10 + -21 = -31 -31r = -31 Divide each side by '-31'. r = 1 Simplifying r = 1
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