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Simplifying -5(4r + 8) + 5(r + -8) = 0 Reorder the terms: -5(8 + 4r) + 5(r + -8) = 0 (8 * -5 + 4r * -5) + 5(r + -8) = 0 (-40 + -20r) + 5(r + -8) = 0 Reorder the terms: -40 + -20r + 5(-8 + r) = 0 -40 + -20r + (-8 * 5 + r * 5) = 0 -40 + -20r + (-40 + 5r) = 0 Reorder the terms: -40 + -40 + -20r + 5r = 0 Combine like terms: -40 + -40 = -80 -80 + -20r + 5r = 0 Combine like terms: -20r + 5r = -15r -80 + -15r = 0 Solving -80 + -15r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + -15r = 0 + 80 Combine like terms: -80 + 80 = 0 0 + -15r = 0 + 80 -15r = 0 + 80 Combine like terms: 0 + 80 = 80 -15r = 80 Divide each side by '-15'. r = -5.333333333 Simplifying r = -5.333333333
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