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Simplifying -10(5 + 3r) = 38 + -8r (5 * -10 + 3r * -10) = 38 + -8r (-50 + -30r) = 38 + -8r Solving -50 + -30r = 38 + -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. -50 + -30r + 8r = 38 + -8r + 8r Combine like terms: -30r + 8r = -22r -50 + -22r = 38 + -8r + 8r Combine like terms: -8r + 8r = 0 -50 + -22r = 38 + 0 -50 + -22r = 38 Add '50' to each side of the equation. -50 + 50 + -22r = 38 + 50 Combine like terms: -50 + 50 = 0 0 + -22r = 38 + 50 -22r = 38 + 50 Combine like terms: 38 + 50 = 88 -22r = 88 Divide each side by '-22'. r = -4 Simplifying r = -4
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