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Simplifying -163 = -8(5r + -4) + 5 Reorder the terms: -163 = -8(-4 + 5r) + 5 -163 = (-4 * -8 + 5r * -8) + 5 -163 = (32 + -40r) + 5 Reorder the terms: -163 = 32 + 5 + -40r Combine like terms: 32 + 5 = 37 -163 = 37 + -40r Solving -163 = 37 + -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. -163 + 40r = 37 + -40r + 40r Combine like terms: -40r + 40r = 0 -163 + 40r = 37 + 0 -163 + 40r = 37 Add '163' to each side of the equation. -163 + 163 + 40r = 37 + 163 Combine like terms: -163 + 163 = 0 0 + 40r = 37 + 163 40r = 37 + 163 Combine like terms: 37 + 163 = 200 40r = 200 Divide each side by '40'. r = 5 Simplifying r = 5
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