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Simplifying 8(5r + -3) + 4(2r + 6) = -5r + -2r Reorder the terms: 8(-3 + 5r) + 4(2r + 6) = -5r + -2r (-3 * 8 + 5r * 8) + 4(2r + 6) = -5r + -2r (-24 + 40r) + 4(2r + 6) = -5r + -2r Reorder the terms: -24 + 40r + 4(6 + 2r) = -5r + -2r -24 + 40r + (6 * 4 + 2r * 4) = -5r + -2r -24 + 40r + (24 + 8r) = -5r + -2r Reorder the terms: -24 + 24 + 40r + 8r = -5r + -2r Combine like terms: -24 + 24 = 0 0 + 40r + 8r = -5r + -2r 40r + 8r = -5r + -2r Combine like terms: 40r + 8r = 48r 48r = -5r + -2r Combine like terms: -5r + -2r = -7r 48r = -7r Solving 48r = -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 48r + 7r = -7r + 7r Combine like terms: 48r + 7r = 55r 55r = -7r + 7r Combine like terms: -7r + 7r = 0 55r = 0 Divide each side by '55'. r = 0 Simplifying r = 0
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