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Simplifying -5(r + 3) = 45 + 5r Reorder the terms: -5(3 + r) = 45 + 5r (3 * -5 + r * -5) = 45 + 5r (-15 + -5r) = 45 + 5r Solving -15 + -5r = 45 + 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. -15 + -5r + -5r = 45 + 5r + -5r Combine like terms: -5r + -5r = -10r -15 + -10r = 45 + 5r + -5r Combine like terms: 5r + -5r = 0 -15 + -10r = 45 + 0 -15 + -10r = 45 Add '15' to each side of the equation. -15 + 15 + -10r = 45 + 15 Combine like terms: -15 + 15 = 0 0 + -10r = 45 + 15 -10r = 45 + 15 Combine like terms: 45 + 15 = 60 -10r = 60 Divide each side by '-10'. r = -6 Simplifying r = -6
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