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Simplifying 42 = 4r + -2(1 + -2r) 42 = 4r + (1 * -2 + -2r * -2) 42 = 4r + (-2 + 4r) Reorder the terms: 42 = -2 + 4r + 4r Combine like terms: 4r + 4r = 8r 42 = -2 + 8r Solving 42 = -2 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 42 + -8r = -2 + 8r + -8r Combine like terms: 8r + -8r = 0 42 + -8r = -2 + 0 42 + -8r = -2 Add '-42' to each side of the equation. 42 + -42 + -8r = -2 + -42 Combine like terms: 42 + -42 = 0 0 + -8r = -2 + -42 -8r = -2 + -42 Combine like terms: -2 + -42 = -44 -8r = -44 Divide each side by '-8'. r = 5.5 Simplifying r = 5.5
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