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Simplifying -3r + -1 = -8 + 8(r + 5) Reorder the terms: -1 + -3r = -8 + 8(r + 5) Reorder the terms: -1 + -3r = -8 + 8(5 + r) -1 + -3r = -8 + (5 * 8 + r * 8) -1 + -3r = -8 + (40 + 8r) Combine like terms: -8 + 40 = 32 -1 + -3r = 32 + 8r Solving -1 + -3r = 32 + 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. -1 + -3r + -8r = 32 + 8r + -8r Combine like terms: -3r + -8r = -11r -1 + -11r = 32 + 8r + -8r Combine like terms: 8r + -8r = 0 -1 + -11r = 32 + 0 -1 + -11r = 32 Add '1' to each side of the equation. -1 + 1 + -11r = 32 + 1 Combine like terms: -1 + 1 = 0 0 + -11r = 32 + 1 -11r = 32 + 1 Combine like terms: 32 + 1 = 33 -11r = 33 Divide each side by '-11'. r = -3 Simplifying r = -3
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