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Simplifying 3(2r + 14) = 2(24 + 4r) Reorder the terms: 3(14 + 2r) = 2(24 + 4r) (14 * 3 + 2r * 3) = 2(24 + 4r) (42 + 6r) = 2(24 + 4r) 42 + 6r = (24 * 2 + 4r * 2) 42 + 6r = (48 + 8r) Solving 42 + 6r = 48 + 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 = 48 + 8r + -8r Combine like terms: 6r + -8r = -2r 42 + -2r = 48 + 8r + -8r Combine like terms: 8r + -8r = 0 42 + -2r = 48 + 0 42 + -2r = 48 Add '-42' to each side of the equation. 42 + -42 + -2r = 48 + -42 Combine like terms: 42 + -42 = 0 0 + -2r = 48 + -42 -2r = 48 + -42 Combine like terms: 48 + -42 = 6 -2r = 6 Divide each side by '-2'. r = -3 Simplifying r = -3
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