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Simplifying 4(7r + 5) = 3r + -30 Reorder the terms: 4(5 + 7r) = 3r + -30 (5 * 4 + 7r * 4) = 3r + -30 (20 + 28r) = 3r + -30 Reorder the terms: 20 + 28r = -30 + 3r Solving 20 + 28r = -30 + 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. 20 + 28r + -3r = -30 + 3r + -3r Combine like terms: 28r + -3r = 25r 20 + 25r = -30 + 3r + -3r Combine like terms: 3r + -3r = 0 20 + 25r = -30 + 0 20 + 25r = -30 Add '-20' to each side of the equation. 20 + -20 + 25r = -30 + -20 Combine like terms: 20 + -20 = 0 0 + 25r = -30 + -20 25r = -30 + -20 Combine like terms: -30 + -20 = -50 25r = -50 Divide each side by '25'. r = -2 Simplifying r = -2
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