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Simplifying 5(r + -3) = -5(r + -3) Reorder the terms: 5(-3 + r) = -5(r + -3) (-3 * 5 + r * 5) = -5(r + -3) (-15 + 5r) = -5(r + -3) Reorder the terms: -15 + 5r = -5(-3 + r) -15 + 5r = (-3 * -5 + r * -5) -15 + 5r = (15 + -5r) Solving -15 + 5r = 15 + -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 = 15 + -5r + 5r Combine like terms: 5r + 5r = 10r -15 + 10r = 15 + -5r + 5r Combine like terms: -5r + 5r = 0 -15 + 10r = 15 + 0 -15 + 10r = 15 Add '15' to each side of the equation. -15 + 15 + 10r = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 10r = 15 + 15 10r = 15 + 15 Combine like terms: 15 + 15 = 30 10r = 30 Divide each side by '10'. r = 3 Simplifying r = 3
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