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Simplifying 6r + 22 = 7(6 + -2r) Reorder the terms: 22 + 6r = 7(6 + -2r) 22 + 6r = (6 * 7 + -2r * 7) 22 + 6r = (42 + -14r) Solving 22 + 6r = 42 + -14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '14r' to each side of the equation. 22 + 6r + 14r = 42 + -14r + 14r Combine like terms: 6r + 14r = 20r 22 + 20r = 42 + -14r + 14r Combine like terms: -14r + 14r = 0 22 + 20r = 42 + 0 22 + 20r = 42 Add '-22' to each side of the equation. 22 + -22 + 20r = 42 + -22 Combine like terms: 22 + -22 = 0 0 + 20r = 42 + -22 20r = 42 + -22 Combine like terms: 42 + -22 = 20 20r = 20 Divide each side by '20'. r = 1 Simplifying r = 1
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