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Simplifying -8(6r + 5) = 8r + 16 Reorder the terms: -8(5 + 6r) = 8r + 16 (5 * -8 + 6r * -8) = 8r + 16 (-40 + -48r) = 8r + 16 Reorder the terms: -40 + -48r = 16 + 8r Solving -40 + -48r = 16 + 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 + -48r + -8r = 16 + 8r + -8r Combine like terms: -48r + -8r = -56r -40 + -56r = 16 + 8r + -8r Combine like terms: 8r + -8r = 0 -40 + -56r = 16 + 0 -40 + -56r = 16 Add '40' to each side of the equation. -40 + 40 + -56r = 16 + 40 Combine like terms: -40 + 40 = 0 0 + -56r = 16 + 40 -56r = 16 + 40 Combine like terms: 16 + 40 = 56 -56r = 56 Divide each side by '-56'. r = -1 Simplifying r = -1
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