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Simplifying -8(r + -6) = -8 + -6(-2 + 5r) Reorder the terms: -8(-6 + r) = -8 + -6(-2 + 5r) (-6 * -8 + r * -8) = -8 + -6(-2 + 5r) (48 + -8r) = -8 + -6(-2 + 5r) 48 + -8r = -8 + (-2 * -6 + 5r * -6) 48 + -8r = -8 + (12 + -30r) Combine like terms: -8 + 12 = 4 48 + -8r = 4 + -30r Solving 48 + -8r = 4 + -30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30r' to each side of the equation. 48 + -8r + 30r = 4 + -30r + 30r Combine like terms: -8r + 30r = 22r 48 + 22r = 4 + -30r + 30r Combine like terms: -30r + 30r = 0 48 + 22r = 4 + 0 48 + 22r = 4 Add '-48' to each side of the equation. 48 + -48 + 22r = 4 + -48 Combine like terms: 48 + -48 = 0 0 + 22r = 4 + -48 22r = 4 + -48 Combine like terms: 4 + -48 = -44 22r = -44 Divide each side by '22'. r = -2 Simplifying r = -2
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