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Simplifying 8(r + 3) = -19 + 9r Reorder the terms: 8(3 + r) = -19 + 9r (3 * 8 + r * 8) = -19 + 9r (24 + 8r) = -19 + 9r Solving 24 + 8r = -19 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 24 + 8r + -9r = -19 + 9r + -9r Combine like terms: 8r + -9r = -1r 24 + -1r = -19 + 9r + -9r Combine like terms: 9r + -9r = 0 24 + -1r = -19 + 0 24 + -1r = -19 Add '-24' to each side of the equation. 24 + -24 + -1r = -19 + -24 Combine like terms: 24 + -24 = 0 0 + -1r = -19 + -24 -1r = -19 + -24 Combine like terms: -19 + -24 = -43 -1r = -43 Divide each side by '-1'. r = 43 Simplifying r = 43
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