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Simplifying 6(r + 6) = 28 + 7r Reorder the terms: 6(6 + r) = 28 + 7r (6 * 6 + r * 6) = 28 + 7r (36 + 6r) = 28 + 7r Solving 36 + 6r = 28 + 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. 36 + 6r + -7r = 28 + 7r + -7r Combine like terms: 6r + -7r = -1r 36 + -1r = 28 + 7r + -7r Combine like terms: 7r + -7r = 0 36 + -1r = 28 + 0 36 + -1r = 28 Add '-36' to each side of the equation. 36 + -36 + -1r = 28 + -36 Combine like terms: 36 + -36 = 0 0 + -1r = 28 + -36 -1r = 28 + -36 Combine like terms: 28 + -36 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8
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