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Simplifying -5(10 + -1r) = 3(9r + -2) (10 * -5 + -1r * -5) = 3(9r + -2) (-50 + 5r) = 3(9r + -2) Reorder the terms: -50 + 5r = 3(-2 + 9r) -50 + 5r = (-2 * 3 + 9r * 3) -50 + 5r = (-6 + 27r) Solving -50 + 5r = -6 + 27r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27r' to each side of the equation. -50 + 5r + -27r = -6 + 27r + -27r Combine like terms: 5r + -27r = -22r -50 + -22r = -6 + 27r + -27r Combine like terms: 27r + -27r = 0 -50 + -22r = -6 + 0 -50 + -22r = -6 Add '50' to each side of the equation. -50 + 50 + -22r = -6 + 50 Combine like terms: -50 + 50 = 0 0 + -22r = -6 + 50 -22r = -6 + 50 Combine like terms: -6 + 50 = 44 -22r = 44 Divide each side by '-22'. r = -2 Simplifying r = -2
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