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Simplifying 8(6r + 4) + -4r = -8r + 6(8r + 8) Reorder the terms: 8(4 + 6r) + -4r = -8r + 6(8r + 8) (4 * 8 + 6r * 8) + -4r = -8r + 6(8r + 8) (32 + 48r) + -4r = -8r + 6(8r + 8) Combine like terms: 48r + -4r = 44r 32 + 44r = -8r + 6(8r + 8) Reorder the terms: 32 + 44r = -8r + 6(8 + 8r) 32 + 44r = -8r + (8 * 6 + 8r * 6) 32 + 44r = -8r + (48 + 48r) Reorder the terms: 32 + 44r = 48 + -8r + 48r Combine like terms: -8r + 48r = 40r 32 + 44r = 48 + 40r Solving 32 + 44r = 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. 32 + 44r + -40r = 48 + 40r + -40r Combine like terms: 44r + -40r = 4r 32 + 4r = 48 + 40r + -40r Combine like terms: 40r + -40r = 0 32 + 4r = 48 + 0 32 + 4r = 48 Add '-32' to each side of the equation. 32 + -32 + 4r = 48 + -32 Combine like terms: 32 + -32 = 0 0 + 4r = 48 + -32 4r = 48 + -32 Combine like terms: 48 + -32 = 16 4r = 16 Divide each side by '4'. r = 4 Simplifying r = 4
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