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Simplifying (7r + 2) + -5(r + 3) = 11 Reorder the terms: (2 + 7r) + -5(r + 3) = 11 Remove parenthesis around (2 + 7r) 2 + 7r + -5(r + 3) = 11 Reorder the terms: 2 + 7r + -5(3 + r) = 11 2 + 7r + (3 * -5 + r * -5) = 11 2 + 7r + (-15 + -5r) = 11 Reorder the terms: 2 + -15 + 7r + -5r = 11 Combine like terms: 2 + -15 = -13 -13 + 7r + -5r = 11 Combine like terms: 7r + -5r = 2r -13 + 2r = 11 Solving -13 + 2r = 11 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2r = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 2r = 11 + 13 2r = 11 + 13 Combine like terms: 11 + 13 = 24 2r = 24 Divide each side by '2'. r = 12 Simplifying r = 12
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