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Simplifying 34 + -3r = -5(6r + 4) Reorder the terms: 34 + -3r = -5(4 + 6r) 34 + -3r = (4 * -5 + 6r * -5) 34 + -3r = (-20 + -30r) Solving 34 + -3r = -20 + -30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30r' to each side of the equation. 34 + -3r + 30r = -20 + -30r + 30r Combine like terms: -3r + 30r = 27r 34 + 27r = -20 + -30r + 30r Combine like terms: -30r + 30r = 0 34 + 27r = -20 + 0 34 + 27r = -20 Add '-34' to each side of the equation. 34 + -34 + 27r = -20 + -34 Combine like terms: 34 + -34 = 0 0 + 27r = -20 + -34 27r = -20 + -34 Combine like terms: -20 + -34 = -54 27r = -54 Divide each side by '27'. r = -2 Simplifying r = -2
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