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Simplifying 39 + -8r = -5(2r + -7) Reorder the terms: 39 + -8r = -5(-7 + 2r) 39 + -8r = (-7 * -5 + 2r * -5) 39 + -8r = (35 + -10r) Solving 39 + -8r = 35 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 39 + -8r + 10r = 35 + -10r + 10r Combine like terms: -8r + 10r = 2r 39 + 2r = 35 + -10r + 10r Combine like terms: -10r + 10r = 0 39 + 2r = 35 + 0 39 + 2r = 35 Add '-39' to each side of the equation. 39 + -39 + 2r = 35 + -39 Combine like terms: 39 + -39 = 0 0 + 2r = 35 + -39 2r = 35 + -39 Combine like terms: 35 + -39 = -4 2r = -4 Divide each side by '2'. r = -2 Simplifying r = -2
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