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Simplifying 5 + 8(1 + -3r) = -38 + -7r 5 + (1 * 8 + -3r * 8) = -38 + -7r 5 + (8 + -24r) = -38 + -7r Combine like terms: 5 + 8 = 13 13 + -24r = -38 + -7r Solving 13 + -24r = -38 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 13 + -24r + 7r = -38 + -7r + 7r Combine like terms: -24r + 7r = -17r 13 + -17r = -38 + -7r + 7r Combine like terms: -7r + 7r = 0 13 + -17r = -38 + 0 13 + -17r = -38 Add '-13' to each side of the equation. 13 + -13 + -17r = -38 + -13 Combine like terms: 13 + -13 = 0 0 + -17r = -38 + -13 -17r = -38 + -13 Combine like terms: -38 + -13 = -51 -17r = -51 Divide each side by '-17'. r = 3 Simplifying r = 3
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