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Simplifying 5(r + -7) = 8r + 5(5 + 5r) Reorder the terms: 5(-7 + r) = 8r + 5(5 + 5r) (-7 * 5 + r * 5) = 8r + 5(5 + 5r) (-35 + 5r) = 8r + 5(5 + 5r) -35 + 5r = 8r + (5 * 5 + 5r * 5) -35 + 5r = 8r + (25 + 25r) Reorder the terms: -35 + 5r = 25 + 8r + 25r Combine like terms: 8r + 25r = 33r -35 + 5r = 25 + 33r Solving -35 + 5r = 25 + 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. -35 + 5r + -33r = 25 + 33r + -33r Combine like terms: 5r + -33r = -28r -35 + -28r = 25 + 33r + -33r Combine like terms: 33r + -33r = 0 -35 + -28r = 25 + 0 -35 + -28r = 25 Add '35' to each side of the equation. -35 + 35 + -28r = 25 + 35 Combine like terms: -35 + 35 = 0 0 + -28r = 25 + 35 -28r = 25 + 35 Combine like terms: 25 + 35 = 60 -28r = 60 Divide each side by '-28'. r = -2.142857143 Simplifying r = -2.142857143
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