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Simplifying 1 + 2r = -3(-1r + -3) Reorder the terms: 1 + 2r = -3(-3 + -1r) 1 + 2r = (-3 * -3 + -1r * -3) 1 + 2r = (9 + 3r) Solving 1 + 2r = 9 + 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. 1 + 2r + -3r = 9 + 3r + -3r Combine like terms: 2r + -3r = -1r 1 + -1r = 9 + 3r + -3r Combine like terms: 3r + -3r = 0 1 + -1r = 9 + 0 1 + -1r = 9 Add '-1' to each side of the equation. 1 + -1 + -1r = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -1r = 9 + -1 -1r = 9 + -1 Combine like terms: 9 + -1 = 8 -1r = 8 Divide each side by '-1'. r = -8 Simplifying r = -8
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