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Simplifying 84 = 4(7 + 2r) 84 = (7 * 4 + 2r * 4) 84 = (28 + 8r) Solving 84 = 28 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 84 + -8r = 28 + 8r + -8r Combine like terms: 8r + -8r = 0 84 + -8r = 28 + 0 84 + -8r = 28 Add '-84' to each side of the equation. 84 + -84 + -8r = 28 + -84 Combine like terms: 84 + -84 = 0 0 + -8r = 28 + -84 -8r = 28 + -84 Combine like terms: 28 + -84 = -56 -8r = -56 Divide each side by '-8'. r = 7 Simplifying r = 7
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