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Simplifying -1r + 2 = -6 + 8(1 + -5r) Reorder the terms: 2 + -1r = -6 + 8(1 + -5r) 2 + -1r = -6 + (1 * 8 + -5r * 8) 2 + -1r = -6 + (8 + -40r) Combine like terms: -6 + 8 = 2 2 + -1r = 2 + -40r Add '-2' to each side of the equation. 2 + -2 + -1r = 2 + -2 + -40r Combine like terms: 2 + -2 = 0 0 + -1r = 2 + -2 + -40r -1r = 2 + -2 + -40r Combine like terms: 2 + -2 = 0 -1r = 0 + -40r -1r = -40r Solving -1r = -40r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '40r' to each side of the equation. -1r + 40r = -40r + 40r Combine like terms: -1r + 40r = 39r 39r = -40r + 40r Combine like terms: -40r + 40r = 0 39r = 0 Divide each side by '39'. r = 0 Simplifying r = 0
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