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Simplifying 16 + 8r = 2 + -3(7 + -1r) 16 + 8r = 2 + (7 * -3 + -1r * -3) 16 + 8r = 2 + (-21 + 3r) Combine like terms: 2 + -21 = -19 16 + 8r = -19 + 3r Solving 16 + 8r = -19 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 16 + 8r + -3r = -19 + 3r + -3r Combine like terms: 8r + -3r = 5r 16 + 5r = -19 + 3r + -3r Combine like terms: 3r + -3r = 0 16 + 5r = -19 + 0 16 + 5r = -19 Add '-16' to each side of the equation. 16 + -16 + 5r = -19 + -16 Combine like terms: 16 + -16 = 0 0 + 5r = -19 + -16 5r = -19 + -16 Combine like terms: -19 + -16 = -35 5r = -35 Divide each side by '5'. r = -7 Simplifying r = -7
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