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Simplifying 2(r + -11) = 3r + 27 Reorder the terms: 2(-11 + r) = 3r + 27 (-11 * 2 + r * 2) = 3r + 27 (-22 + 2r) = 3r + 27 Reorder the terms: -22 + 2r = 27 + 3r Solving -22 + 2r = 27 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -22 + 2r + -3r = 27 + 3r + -3r Combine like terms: 2r + -3r = -1r -22 + -1r = 27 + 3r + -3r Combine like terms: 3r + -3r = 0 -22 + -1r = 27 + 0 -22 + -1r = 27 Add '22' to each side of the equation. -22 + 22 + -1r = 27 + 22 Combine like terms: -22 + 22 = 0 0 + -1r = 27 + 22 -1r = 27 + 22 Combine like terms: 27 + 22 = 49 -1r = 49 Divide each side by '-1'. r = -49 Simplifying r = -49
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