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Simplifying -7 + 2(4r + 7) = 40 + -3r Reorder the terms: -7 + 2(7 + 4r) = 40 + -3r -7 + (7 * 2 + 4r * 2) = 40 + -3r -7 + (14 + 8r) = 40 + -3r Combine like terms: -7 + 14 = 7 7 + 8r = 40 + -3r Solving 7 + 8r = 40 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 7 + 8r + 3r = 40 + -3r + 3r Combine like terms: 8r + 3r = 11r 7 + 11r = 40 + -3r + 3r Combine like terms: -3r + 3r = 0 7 + 11r = 40 + 0 7 + 11r = 40 Add '-7' to each side of the equation. 7 + -7 + 11r = 40 + -7 Combine like terms: 7 + -7 = 0 0 + 11r = 40 + -7 11r = 40 + -7 Combine like terms: 40 + -7 = 33 11r = 33 Divide each side by '11'. r = 3 Simplifying r = 3
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