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Simplifying 5(r + -8) = -5(r + -8) Reorder the terms: 5(-8 + r) = -5(r + -8) (-8 * 5 + r * 5) = -5(r + -8) (-40 + 5r) = -5(r + -8) Reorder the terms: -40 + 5r = -5(-8 + r) -40 + 5r = (-8 * -5 + r * -5) -40 + 5r = (40 + -5r) Solving -40 + 5r = 40 + -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. -40 + 5r + 5r = 40 + -5r + 5r Combine like terms: 5r + 5r = 10r -40 + 10r = 40 + -5r + 5r Combine like terms: -5r + 5r = 0 -40 + 10r = 40 + 0 -40 + 10r = 40 Add '40' to each side of the equation. -40 + 40 + 10r = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 10r = 40 + 40 10r = 40 + 40 Combine like terms: 40 + 40 = 80 10r = 80 Divide each side by '10'. r = 8 Simplifying r = 8
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