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Simplifying 5(r + -7) = 8(r + 2) Reorder the terms: 5(-7 + r) = 8(r + 2) (-7 * 5 + r * 5) = 8(r + 2) (-35 + 5r) = 8(r + 2) Reorder the terms: -35 + 5r = 8(2 + r) -35 + 5r = (2 * 8 + r * 8) -35 + 5r = (16 + 8r) Solving -35 + 5r = 16 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -35 + 5r + -8r = 16 + 8r + -8r Combine like terms: 5r + -8r = -3r -35 + -3r = 16 + 8r + -8r Combine like terms: 8r + -8r = 0 -35 + -3r = 16 + 0 -35 + -3r = 16 Add '35' to each side of the equation. -35 + 35 + -3r = 16 + 35 Combine like terms: -35 + 35 = 0 0 + -3r = 16 + 35 -3r = 16 + 35 Combine like terms: 16 + 35 = 51 -3r = 51 Divide each side by '-3'. r = -17 Simplifying r = -17
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