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Simplifying 3r + -5 = -8(6 + 5r) Reorder the terms: -5 + 3r = -8(6 + 5r) -5 + 3r = (6 * -8 + 5r * -8) -5 + 3r = (-48 + -40r) Solving -5 + 3r = -48 + -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. -5 + 3r + 40r = -48 + -40r + 40r Combine like terms: 3r + 40r = 43r -5 + 43r = -48 + -40r + 40r Combine like terms: -40r + 40r = 0 -5 + 43r = -48 + 0 -5 + 43r = -48 Add '5' to each side of the equation. -5 + 5 + 43r = -48 + 5 Combine like terms: -5 + 5 = 0 0 + 43r = -48 + 5 43r = -48 + 5 Combine like terms: -48 + 5 = -43 43r = -43 Divide each side by '43'. r = -1 Simplifying r = -1
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