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Simplifying -7r + 34 = 4(1 + -3r) Reorder the terms: 34 + -7r = 4(1 + -3r) 34 + -7r = (1 * 4 + -3r * 4) 34 + -7r = (4 + -12r) Solving 34 + -7r = 4 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. 34 + -7r + 12r = 4 + -12r + 12r Combine like terms: -7r + 12r = 5r 34 + 5r = 4 + -12r + 12r Combine like terms: -12r + 12r = 0 34 + 5r = 4 + 0 34 + 5r = 4 Add '-34' to each side of the equation. 34 + -34 + 5r = 4 + -34 Combine like terms: 34 + -34 = 0 0 + 5r = 4 + -34 5r = 4 + -34 Combine like terms: 4 + -34 = -30 5r = -30 Divide each side by '5'. r = -6 Simplifying r = -6
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