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