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Simplifying -11 + -5r = -8(5r + -3) Reorder the terms: -11 + -5r = -8(-3 + 5r) -11 + -5r = (-3 * -8 + 5r * -8) -11 + -5r = (24 + -40r) Solving -11 + -5r = 24 + -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. -11 + -5r + 40r = 24 + -40r + 40r Combine like terms: -5r + 40r = 35r -11 + 35r = 24 + -40r + 40r Combine like terms: -40r + 40r = 0 -11 + 35r = 24 + 0 -11 + 35r = 24 Add '11' to each side of the equation. -11 + 11 + 35r = 24 + 11 Combine like terms: -11 + 11 = 0 0 + 35r = 24 + 11 35r = 24 + 11 Combine like terms: 24 + 11 = 35 35r = 35 Divide each side by '35'. r = 1 Simplifying r = 1
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