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Simplifying 5(-3r + 6) = 90 + -5r Reorder the terms: 5(6 + -3r) = 90 + -5r (6 * 5 + -3r * 5) = 90 + -5r (30 + -15r) = 90 + -5r Solving 30 + -15r = 90 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 30 + -15r + 5r = 90 + -5r + 5r Combine like terms: -15r + 5r = -10r 30 + -10r = 90 + -5r + 5r Combine like terms: -5r + 5r = 0 30 + -10r = 90 + 0 30 + -10r = 90 Add '-30' to each side of the equation. 30 + -30 + -10r = 90 + -30 Combine like terms: 30 + -30 = 0 0 + -10r = 90 + -30 -10r = 90 + -30 Combine like terms: 90 + -30 = 60 -10r = 60 Divide each side by '-10'. r = -6 Simplifying r = -6
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