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Simplifying 6(r + 4) = -8(r + -11) Reorder the terms: 6(4 + r) = -8(r + -11) (4 * 6 + r * 6) = -8(r + -11) (24 + 6r) = -8(r + -11) Reorder the terms: 24 + 6r = -8(-11 + r) 24 + 6r = (-11 * -8 + r * -8) 24 + 6r = (88 + -8r) Solving 24 + 6r = 88 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 24 + 6r + 8r = 88 + -8r + 8r Combine like terms: 6r + 8r = 14r 24 + 14r = 88 + -8r + 8r Combine like terms: -8r + 8r = 0 24 + 14r = 88 + 0 24 + 14r = 88 Add '-24' to each side of the equation. 24 + -24 + 14r = 88 + -24 Combine like terms: 24 + -24 = 0 0 + 14r = 88 + -24 14r = 88 + -24 Combine like terms: 88 + -24 = 64 14r = 64 Divide each side by '14'. r = 4.571428571 Simplifying r = 4.571428571
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