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Simplifying -8r + 34 = -8(r + -5) + -3r Reorder the terms: 34 + -8r = -8(r + -5) + -3r Reorder the terms: 34 + -8r = -8(-5 + r) + -3r 34 + -8r = (-5 * -8 + r * -8) + -3r 34 + -8r = (40 + -8r) + -3r Combine like terms: -8r + -3r = -11r 34 + -8r = 40 + -11r Solving 34 + -8r = 40 + -11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11r' to each side of the equation. 34 + -8r + 11r = 40 + -11r + 11r Combine like terms: -8r + 11r = 3r 34 + 3r = 40 + -11r + 11r Combine like terms: -11r + 11r = 0 34 + 3r = 40 + 0 34 + 3r = 40 Add '-34' to each side of the equation. 34 + -34 + 3r = 40 + -34 Combine like terms: 34 + -34 = 0 0 + 3r = 40 + -34 3r = 40 + -34 Combine like terms: 40 + -34 = 6 3r = 6 Divide each side by '3'. r = 2 Simplifying r = 2
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