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Simplifying 34 + 8r = 3(6r + -2) Reorder the terms: 34 + 8r = 3(-2 + 6r) 34 + 8r = (-2 * 3 + 6r * 3) 34 + 8r = (-6 + 18r) Solving 34 + 8r = -6 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. 34 + 8r + -18r = -6 + 18r + -18r Combine like terms: 8r + -18r = -10r 34 + -10r = -6 + 18r + -18r Combine like terms: 18r + -18r = 0 34 + -10r = -6 + 0 34 + -10r = -6 Add '-34' to each side of the equation. 34 + -34 + -10r = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -10r = -6 + -34 -10r = -6 + -34 Combine like terms: -6 + -34 = -40 -10r = -40 Divide each side by '-10'. r = 4 Simplifying r = 4
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