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Simplifying -6 = -3r + -1(5 + -2r) -6 = -3r + (5 * -1 + -2r * -1) -6 = -3r + (-5 + 2r) Reorder the terms: -6 = -5 + -3r + 2r Combine like terms: -3r + 2r = -1r -6 = -5 + -1r Solving -6 = -5 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -6 + r = -5 + -1r + r Combine like terms: -1r + r = 0 -6 + r = -5 + 0 -6 + r = -5 Add '6' to each side of the equation. -6 + 6 + r = -5 + 6 Combine like terms: -6 + 6 = 0 0 + r = -5 + 6 r = -5 + 6 Combine like terms: -5 + 6 = 1 r = 1 Simplifying r = 1
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