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Simplifying 5 + -1(1 + 2r) = -3r + -4 5 + (1 * -1 + 2r * -1) = -3r + -4 5 + (-1 + -2r) = -3r + -4 Combine like terms: 5 + -1 = 4 4 + -2r = -3r + -4 Reorder the terms: 4 + -2r = -4 + -3r Solving 4 + -2r = -4 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 4 + -2r + 3r = -4 + -3r + 3r Combine like terms: -2r + 3r = 1r 4 + 1r = -4 + -3r + 3r Combine like terms: -3r + 3r = 0 4 + 1r = -4 + 0 4 + 1r = -4 Add '-4' to each side of the equation. 4 + -4 + 1r = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 1r = -4 + -4 1r = -4 + -4 Combine like terms: -4 + -4 = -8 1r = -8 Divide each side by '1'. r = -8 Simplifying r = -8
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