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Simplifying 6(r + 3) + -2r = 42 Reorder the terms: 6(3 + r) + -2r = 42 (3 * 6 + r * 6) + -2r = 42 (18 + 6r) + -2r = 42 Combine like terms: 6r + -2r = 4r 18 + 4r = 42 Solving 18 + 4r = 42 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4r = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 4r = 42 + -18 4r = 42 + -18 Combine like terms: 42 + -18 = 24 4r = 24 Divide each side by '4'. r = 6 Simplifying r = 6
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