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Simplifying -196.04 = 5.8(5r + 5.7) Reorder the terms: -196.04 = 5.8(5.7 + 5r) -196.04 = (5.7 * 5.8 + 5r * 5.8) -196.04 = (33.06 + 29r) Solving -196.04 = 33.06 + 29r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-29r' to each side of the equation. -196.04 + -29r = 33.06 + 29r + -29r Combine like terms: 29r + -29r = 0 -196.04 + -29r = 33.06 + 0 -196.04 + -29r = 33.06 Add '196.04' to each side of the equation. -196.04 + 196.04 + -29r = 33.06 + 196.04 Combine like terms: -196.04 + 196.04 = 0.00 0.00 + -29r = 33.06 + 196.04 -29r = 33.06 + 196.04 Combine like terms: 33.06 + 196.04 = 229.1 -29r = 229.1 Divide each side by '-29'. r = -7.9 Simplifying r = -7.9
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