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Simplifying 22 + 6r = 6(8 + -1r) + -1r 22 + 6r = (8 * 6 + -1r * 6) + -1r 22 + 6r = (48 + -6r) + -1r Combine like terms: -6r + -1r = -7r 22 + 6r = 48 + -7r Solving 22 + 6r = 48 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 22 + 6r + 7r = 48 + -7r + 7r Combine like terms: 6r + 7r = 13r 22 + 13r = 48 + -7r + 7r Combine like terms: -7r + 7r = 0 22 + 13r = 48 + 0 22 + 13r = 48 Add '-22' to each side of the equation. 22 + -22 + 13r = 48 + -22 Combine like terms: 22 + -22 = 0 0 + 13r = 48 + -22 13r = 48 + -22 Combine like terms: 48 + -22 = 26 13r = 26 Divide each side by '13'. r = 2 Simplifying r = 2
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