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Simplifying 46 = 8r + 5(5r + -4) Reorder the terms: 46 = 8r + 5(-4 + 5r) 46 = 8r + (-4 * 5 + 5r * 5) 46 = 8r + (-20 + 25r) Reorder the terms: 46 = -20 + 8r + 25r Combine like terms: 8r + 25r = 33r 46 = -20 + 33r Solving 46 = -20 + 33r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-33r' to each side of the equation. 46 + -33r = -20 + 33r + -33r Combine like terms: 33r + -33r = 0 46 + -33r = -20 + 0 46 + -33r = -20 Add '-46' to each side of the equation. 46 + -46 + -33r = -20 + -46 Combine like terms: 46 + -46 = 0 0 + -33r = -20 + -46 -33r = -20 + -46 Combine like terms: -20 + -46 = -66 -33r = -66 Divide each side by '-33'. r = 2 Simplifying r = 2
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