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Simplifying -5r + 8(r + -3) = 6 + 8r Reorder the terms: -5r + 8(-3 + r) = 6 + 8r -5r + (-3 * 8 + r * 8) = 6 + 8r -5r + (-24 + 8r) = 6 + 8r Reorder the terms: -24 + -5r + 8r = 6 + 8r Combine like terms: -5r + 8r = 3r -24 + 3r = 6 + 8r Solving -24 + 3r = 6 + 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 + 3r + -8r = 6 + 8r + -8r Combine like terms: 3r + -8r = -5r -24 + -5r = 6 + 8r + -8r Combine like terms: 8r + -8r = 0 -24 + -5r = 6 + 0 -24 + -5r = 6 Add '24' to each side of the equation. -24 + 24 + -5r = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -5r = 6 + 24 -5r = 6 + 24 Combine like terms: 6 + 24 = 30 -5r = 30 Divide each side by '-5'. r = -6 Simplifying r = -6
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