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Simplifying 6r + -39 = 5r + -8(-6r + -1) Reorder the terms: -39 + 6r = 5r + -8(-6r + -1) Reorder the terms: -39 + 6r = 5r + -8(-1 + -6r) -39 + 6r = 5r + (-1 * -8 + -6r * -8) -39 + 6r = 5r + (8 + 48r) Reorder the terms: -39 + 6r = 8 + 5r + 48r Combine like terms: 5r + 48r = 53r -39 + 6r = 8 + 53r Solving -39 + 6r = 8 + 53r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-53r' to each side of the equation. -39 + 6r + -53r = 8 + 53r + -53r Combine like terms: 6r + -53r = -47r -39 + -47r = 8 + 53r + -53r Combine like terms: 53r + -53r = 0 -39 + -47r = 8 + 0 -39 + -47r = 8 Add '39' to each side of the equation. -39 + 39 + -47r = 8 + 39 Combine like terms: -39 + 39 = 0 0 + -47r = 8 + 39 -47r = 8 + 39 Combine like terms: 8 + 39 = 47 -47r = 47 Divide each side by '-47'. r = -1 Simplifying r = -1
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