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Simplifying -1(-2 + -1r) + 2(-4r + -3) = 3 (-2 * -1 + -1r * -1) + 2(-4r + -3) = 3 (2 + 1r) + 2(-4r + -3) = 3 Reorder the terms: 2 + 1r + 2(-3 + -4r) = 3 2 + 1r + (-3 * 2 + -4r * 2) = 3 2 + 1r + (-6 + -8r) = 3 Reorder the terms: 2 + -6 + 1r + -8r = 3 Combine like terms: 2 + -6 = -4 -4 + 1r + -8r = 3 Combine like terms: 1r + -8r = -7r -4 + -7r = 3 Solving -4 + -7r = 3 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7r = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -7r = 3 + 4 -7r = 3 + 4 Combine like terms: 3 + 4 = 7 -7r = 7 Divide each side by '-7'. r = -1 Simplifying r = -1
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