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Simplifying 5(3r + -8) = -8r + -2 Reorder the terms: 5(-8 + 3r) = -8r + -2 (-8 * 5 + 3r * 5) = -8r + -2 (-40 + 15r) = -8r + -2 Reorder the terms: -40 + 15r = -2 + -8r Solving -40 + 15r = -2 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -40 + 15r + 8r = -2 + -8r + 8r Combine like terms: 15r + 8r = 23r -40 + 23r = -2 + -8r + 8r Combine like terms: -8r + 8r = 0 -40 + 23r = -2 + 0 -40 + 23r = -2 Add '40' to each side of the equation. -40 + 40 + 23r = -2 + 40 Combine like terms: -40 + 40 = 0 0 + 23r = -2 + 40 23r = -2 + 40 Combine like terms: -2 + 40 = 38 23r = 38 Divide each side by '23'. r = 1.652173913 Simplifying r = 1.652173913
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