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Simplifying -12r + -10(1 + -4r) = 2r + 8(1 + r) -12r + (1 * -10 + -4r * -10) = 2r + 8(1 + r) -12r + (-10 + 40r) = 2r + 8(1 + r) Reorder the terms: -10 + -12r + 40r = 2r + 8(1 + r) Combine like terms: -12r + 40r = 28r -10 + 28r = 2r + 8(1 + r) -10 + 28r = 2r + (1 * 8 + r * 8) -10 + 28r = 2r + (8 + 8r) Reorder the terms: -10 + 28r = 8 + 2r + 8r Combine like terms: 2r + 8r = 10r -10 + 28r = 8 + 10r Solving -10 + 28r = 8 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -10 + 28r + -10r = 8 + 10r + -10r Combine like terms: 28r + -10r = 18r -10 + 18r = 8 + 10r + -10r Combine like terms: 10r + -10r = 0 -10 + 18r = 8 + 0 -10 + 18r = 8 Add '10' to each side of the equation. -10 + 10 + 18r = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 18r = 8 + 10 18r = 8 + 10 Combine like terms: 8 + 10 = 18 18r = 18 Divide each side by '18'. r = 1 Simplifying r = 1
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