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Simplifying -3(r + -3) + -6 = -3(r + 7) + -8r Reorder the terms: -3(-3 + r) + -6 = -3(r + 7) + -8r (-3 * -3 + r * -3) + -6 = -3(r + 7) + -8r (9 + -3r) + -6 = -3(r + 7) + -8r Reorder the terms: 9 + -6 + -3r = -3(r + 7) + -8r Combine like terms: 9 + -6 = 3 3 + -3r = -3(r + 7) + -8r Reorder the terms: 3 + -3r = -3(7 + r) + -8r 3 + -3r = (7 * -3 + r * -3) + -8r 3 + -3r = (-21 + -3r) + -8r Combine like terms: -3r + -8r = -11r 3 + -3r = -21 + -11r Solving 3 + -3r = -21 + -11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11r' to each side of the equation. 3 + -3r + 11r = -21 + -11r + 11r Combine like terms: -3r + 11r = 8r 3 + 8r = -21 + -11r + 11r Combine like terms: -11r + 11r = 0 3 + 8r = -21 + 0 3 + 8r = -21 Add '-3' to each side of the equation. 3 + -3 + 8r = -21 + -3 Combine like terms: 3 + -3 = 0 0 + 8r = -21 + -3 8r = -21 + -3 Combine like terms: -21 + -3 = -24 8r = -24 Divide each side by '8'. r = -3 Simplifying r = -3
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