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Simplifying -103 = -4 + -3(1 + -8r) -103 = -4 + (1 * -3 + -8r * -3) -103 = -4 + (-3 + 24r) Combine like terms: -4 + -3 = -7 -103 = -7 + 24r Solving -103 = -7 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. -103 + -24r = -7 + 24r + -24r Combine like terms: 24r + -24r = 0 -103 + -24r = -7 + 0 -103 + -24r = -7 Add '103' to each side of the equation. -103 + 103 + -24r = -7 + 103 Combine like terms: -103 + 103 = 0 0 + -24r = -7 + 103 -24r = -7 + 103 Combine like terms: -7 + 103 = 96 -24r = 96 Divide each side by '-24'. r = -4 Simplifying r = -4
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