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Simplifying -8r + 10(1 + 4r) = 8(1 + 4r) -8r + (1 * 10 + 4r * 10) = 8(1 + 4r) -8r + (10 + 40r) = 8(1 + 4r) Reorder the terms: 10 + -8r + 40r = 8(1 + 4r) Combine like terms: -8r + 40r = 32r 10 + 32r = 8(1 + 4r) 10 + 32r = (1 * 8 + 4r * 8) 10 + 32r = (8 + 32r) Add '-32r' to each side of the equation. 10 + 32r + -32r = 8 + 32r + -32r Combine like terms: 32r + -32r = 0 10 + 0 = 8 + 32r + -32r 10 = 8 + 32r + -32r Combine like terms: 32r + -32r = 0 10 = 8 + 0 10 = 8 Solving 10 = 8 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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