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Simplifying 5(r + -11) = 2(r + -4) + -6 Reorder the terms: 5(-11 + r) = 2(r + -4) + -6 (-11 * 5 + r * 5) = 2(r + -4) + -6 (-55 + 5r) = 2(r + -4) + -6 Reorder the terms: -55 + 5r = 2(-4 + r) + -6 -55 + 5r = (-4 * 2 + r * 2) + -6 -55 + 5r = (-8 + 2r) + -6 Reorder the terms: -55 + 5r = -8 + -6 + 2r Combine like terms: -8 + -6 = -14 -55 + 5r = -14 + 2r Solving -55 + 5r = -14 + 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. -55 + 5r + -2r = -14 + 2r + -2r Combine like terms: 5r + -2r = 3r -55 + 3r = -14 + 2r + -2r Combine like terms: 2r + -2r = 0 -55 + 3r = -14 + 0 -55 + 3r = -14 Add '55' to each side of the equation. -55 + 55 + 3r = -14 + 55 Combine like terms: -55 + 55 = 0 0 + 3r = -14 + 55 3r = -14 + 55 Combine like terms: -14 + 55 = 41 3r = 41 Divide each side by '3'. r = 13.66666667 Simplifying r = 13.66666667
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