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Simplifying 5(r + -6) = -5(r + -4) Reorder the terms: 5(-6 + r) = -5(r + -4) (-6 * 5 + r * 5) = -5(r + -4) (-30 + 5r) = -5(r + -4) Reorder the terms: -30 + 5r = -5(-4 + r) -30 + 5r = (-4 * -5 + r * -5) -30 + 5r = (20 + -5r) Solving -30 + 5r = 20 + -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 + 5r + 5r = 20 + -5r + 5r Combine like terms: 5r + 5r = 10r -30 + 10r = 20 + -5r + 5r Combine like terms: -5r + 5r = 0 -30 + 10r = 20 + 0 -30 + 10r = 20 Add '30' to each side of the equation. -30 + 30 + 10r = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 10r = 20 + 30 10r = 20 + 30 Combine like terms: 20 + 30 = 50 10r = 50 Divide each side by '10'. r = 5 Simplifying r = 5
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