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Simplifying 7r + -3(2r + 3) = 27 Reorder the terms: 7r + -3(3 + 2r) = 27 7r + (3 * -3 + 2r * -3) = 27 7r + (-9 + -6r) = 27 Reorder the terms: -9 + 7r + -6r = 27 Combine like terms: 7r + -6r = 1r -9 + 1r = 27 Solving -9 + 1r = 27 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1r = 27 + 9 Combine like terms: -9 + 9 = 0 0 + 1r = 27 + 9 1r = 27 + 9 Combine like terms: 27 + 9 = 36 1r = 36 Divide each side by '1'. r = 36 Simplifying r = 36
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