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Simplifying 5(8 + 3r) = -26 + -7r (8 * 5 + 3r * 5) = -26 + -7r (40 + 15r) = -26 + -7r Solving 40 + 15r = -26 + -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. 40 + 15r + 7r = -26 + -7r + 7r Combine like terms: 15r + 7r = 22r 40 + 22r = -26 + -7r + 7r Combine like terms: -7r + 7r = 0 40 + 22r = -26 + 0 40 + 22r = -26 Add '-40' to each side of the equation. 40 + -40 + 22r = -26 + -40 Combine like terms: 40 + -40 = 0 0 + 22r = -26 + -40 22r = -26 + -40 Combine like terms: -26 + -40 = -66 22r = -66 Divide each side by '22'. r = -3 Simplifying r = -3
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