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Simplifying 1 + 4(1 + -2r) = -3(r + 6) + -2 1 + (1 * 4 + -2r * 4) = -3(r + 6) + -2 1 + (4 + -8r) = -3(r + 6) + -2 Combine like terms: 1 + 4 = 5 5 + -8r = -3(r + 6) + -2 Reorder the terms: 5 + -8r = -3(6 + r) + -2 5 + -8r = (6 * -3 + r * -3) + -2 5 + -8r = (-18 + -3r) + -2 Reorder the terms: 5 + -8r = -18 + -2 + -3r Combine like terms: -18 + -2 = -20 5 + -8r = -20 + -3r Solving 5 + -8r = -20 + -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. 5 + -8r + 3r = -20 + -3r + 3r Combine like terms: -8r + 3r = -5r 5 + -5r = -20 + -3r + 3r Combine like terms: -3r + 3r = 0 5 + -5r = -20 + 0 5 + -5r = -20 Add '-5' to each side of the equation. 5 + -5 + -5r = -20 + -5 Combine like terms: 5 + -5 = 0 0 + -5r = -20 + -5 -5r = -20 + -5 Combine like terms: -20 + -5 = -25 -5r = -25 Divide each side by '-5'. r = 5 Simplifying r = 5
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