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