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Simplifying -159 = -7 + -8(r + 12) Reorder the terms: -159 = -7 + -8(12 + r) -159 = -7 + (12 * -8 + r * -8) -159 = -7 + (-96 + -8r) Combine like terms: -7 + -96 = -103 -159 = -103 + -8r Solving -159 = -103 + -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. -159 + 8r = -103 + -8r + 8r Combine like terms: -8r + 8r = 0 -159 + 8r = -103 + 0 -159 + 8r = -103 Add '159' to each side of the equation. -159 + 159 + 8r = -103 + 159 Combine like terms: -159 + 159 = 0 0 + 8r = -103 + 159 8r = -103 + 159 Combine like terms: -103 + 159 = 56 8r = 56 Divide each side by '8'. r = 7 Simplifying r = 7
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