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Simplifying 6(r + 5) = 2r + 22 Reorder the terms: 6(5 + r) = 2r + 22 (5 * 6 + r * 6) = 2r + 22 (30 + 6r) = 2r + 22 Reorder the terms: 30 + 6r = 22 + 2r Solving 30 + 6r = 22 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 30 + 6r + -2r = 22 + 2r + -2r Combine like terms: 6r + -2r = 4r 30 + 4r = 22 + 2r + -2r Combine like terms: 2r + -2r = 0 30 + 4r = 22 + 0 30 + 4r = 22 Add '-30' to each side of the equation. 30 + -30 + 4r = 22 + -30 Combine like terms: 30 + -30 = 0 0 + 4r = 22 + -30 4r = 22 + -30 Combine like terms: 22 + -30 = -8 4r = -8 Divide each side by '4'. r = -2 Simplifying r = -2
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