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Simplifying 39 + 3r = -7(-5r + -1) Reorder the terms: 39 + 3r = -7(-1 + -5r) 39 + 3r = (-1 * -7 + -5r * -7) 39 + 3r = (7 + 35r) Solving 39 + 3r = 7 + 35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35r' to each side of the equation. 39 + 3r + -35r = 7 + 35r + -35r Combine like terms: 3r + -35r = -32r 39 + -32r = 7 + 35r + -35r Combine like terms: 35r + -35r = 0 39 + -32r = 7 + 0 39 + -32r = 7 Add '-39' to each side of the equation. 39 + -39 + -32r = 7 + -39 Combine like terms: 39 + -39 = 0 0 + -32r = 7 + -39 -32r = 7 + -39 Combine like terms: 7 + -39 = -32 -32r = -32 Divide each side by '-32'. r = 1 Simplifying r = 1
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