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Simplifying -8(-2r + 5) = 35 + -9r Reorder the terms: -8(5 + -2r) = 35 + -9r (5 * -8 + -2r * -8) = 35 + -9r (-40 + 16r) = 35 + -9r Solving -40 + 16r = 35 + -9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9r' to each side of the equation. -40 + 16r + 9r = 35 + -9r + 9r Combine like terms: 16r + 9r = 25r -40 + 25r = 35 + -9r + 9r Combine like terms: -9r + 9r = 0 -40 + 25r = 35 + 0 -40 + 25r = 35 Add '40' to each side of the equation. -40 + 40 + 25r = 35 + 40 Combine like terms: -40 + 40 = 0 0 + 25r = 35 + 40 25r = 35 + 40 Combine like terms: 35 + 40 = 75 25r = 75 Divide each side by '25'. r = 3 Simplifying r = 3
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