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Simplifying 8(r + -11) = -9 + 2r + 5 Reorder the terms: 8(-11 + r) = -9 + 2r + 5 (-11 * 8 + r * 8) = -9 + 2r + 5 (-88 + 8r) = -9 + 2r + 5 Reorder the terms: -88 + 8r = -9 + 5 + 2r Combine like terms: -9 + 5 = -4 -88 + 8r = -4 + 2r Solving -88 + 8r = -4 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -88 + 8r + -2r = -4 + 2r + -2r Combine like terms: 8r + -2r = 6r -88 + 6r = -4 + 2r + -2r Combine like terms: 2r + -2r = 0 -88 + 6r = -4 + 0 -88 + 6r = -4 Add '88' to each side of the equation. -88 + 88 + 6r = -4 + 88 Combine like terms: -88 + 88 = 0 0 + 6r = -4 + 88 6r = -4 + 88 Combine like terms: -4 + 88 = 84 6r = 84 Divide each side by '6'. r = 14 Simplifying r = 14
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