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Simplifying 35 + -2r = -5 + -8(-5r + -5) Reorder the terms: 35 + -2r = -5 + -8(-5 + -5r) 35 + -2r = -5 + (-5 * -8 + -5r * -8) 35 + -2r = -5 + (40 + 40r) Combine like terms: -5 + 40 = 35 35 + -2r = 35 + 40r Add '-35' to each side of the equation. 35 + -35 + -2r = 35 + -35 + 40r Combine like terms: 35 + -35 = 0 0 + -2r = 35 + -35 + 40r -2r = 35 + -35 + 40r Combine like terms: 35 + -35 = 0 -2r = 0 + 40r -2r = 40r Solving -2r = 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. -2r + -40r = 40r + -40r Combine like terms: -2r + -40r = -42r -42r = 40r + -40r Combine like terms: 40r + -40r = 0 -42r = 0 Divide each side by '-42'. r = 0 Simplifying r = 0
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