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Simplifying 2 = -5(-8r + -2) + -8(r + 1) Reorder the terms: 2 = -5(-2 + -8r) + -8(r + 1) 2 = (-2 * -5 + -8r * -5) + -8(r + 1) 2 = (10 + 40r) + -8(r + 1) Reorder the terms: 2 = 10 + 40r + -8(1 + r) 2 = 10 + 40r + (1 * -8 + r * -8) 2 = 10 + 40r + (-8 + -8r) Reorder the terms: 2 = 10 + -8 + 40r + -8r Combine like terms: 10 + -8 = 2 2 = 2 + 40r + -8r Combine like terms: 40r + -8r = 32r 2 = 2 + 32r Add '-2' to each side of the equation. 2 + -2 = 2 + -2 + 32r Combine like terms: 2 + -2 = 0 0 = 2 + -2 + 32r Combine like terms: 2 + -2 = 0 0 = 0 + 32r 0 = 32r Solving 0 = 32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32r' to each side of the equation. 0 + -32r = 32r + -32r Remove the zero: -32r = 32r + -32r Combine like terms: 32r + -32r = 0 -32r = 0 Divide each side by '-32'. r = 0 Simplifying r = 0
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