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Simplifying 3(2r + 14) = 50 + 8r Reorder the terms: 3(14 + 2r) = 50 + 8r (14 * 3 + 2r * 3) = 50 + 8r (42 + 6r) = 50 + 8r Solving 42 + 6r = 50 + 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. 42 + 6r + -8r = 50 + 8r + -8r Combine like terms: 6r + -8r = -2r 42 + -2r = 50 + 8r + -8r Combine like terms: 8r + -8r = 0 42 + -2r = 50 + 0 42 + -2r = 50 Add '-42' to each side of the equation. 42 + -42 + -2r = 50 + -42 Combine like terms: 42 + -42 = 0 0 + -2r = 50 + -42 -2r = 50 + -42 Combine like terms: 50 + -42 = 8 -2r = 8 Divide each side by '-2'. r = -4 Simplifying r = -4
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