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Simplifying -39 + 4r = -5(5r + 2) Reorder the terms: -39 + 4r = -5(2 + 5r) -39 + 4r = (2 * -5 + 5r * -5) -39 + 4r = (-10 + -25r) Solving -39 + 4r = -10 + -25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '25r' to each side of the equation. -39 + 4r + 25r = -10 + -25r + 25r Combine like terms: 4r + 25r = 29r -39 + 29r = -10 + -25r + 25r Combine like terms: -25r + 25r = 0 -39 + 29r = -10 + 0 -39 + 29r = -10 Add '39' to each side of the equation. -39 + 39 + 29r = -10 + 39 Combine like terms: -39 + 39 = 0 0 + 29r = -10 + 39 29r = -10 + 39 Combine like terms: -10 + 39 = 29 29r = 29 Divide each side by '29'. r = 1 Simplifying r = 1
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