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Simplifying 3(1 + -7r) = 16 + -8r (1 * 3 + -7r * 3) = 16 + -8r (3 + -21r) = 16 + -8r Solving 3 + -21r = 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. 3 + -21r + 8r = 16 + -8r + 8r Combine like terms: -21r + 8r = -13r 3 + -13r = 16 + -8r + 8r Combine like terms: -8r + 8r = 0 3 + -13r = 16 + 0 3 + -13r = 16 Add '-3' to each side of the equation. 3 + -3 + -13r = 16 + -3 Combine like terms: 3 + -3 = 0 0 + -13r = 16 + -3 -13r = 16 + -3 Combine like terms: 16 + -3 = 13 -13r = 13 Divide each side by '-13'. r = -1 Simplifying r = -1
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