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Simplifying (4r + -2) + -1(3r + 2) = 8 Reorder the terms: (-2 + 4r) + -1(3r + 2) = 8 Remove parenthesis around (-2 + 4r) -2 + 4r + -1(3r + 2) = 8 Reorder the terms: -2 + 4r + -1(2 + 3r) = 8 -2 + 4r + (2 * -1 + 3r * -1) = 8 -2 + 4r + (-2 + -3r) = 8 Reorder the terms: -2 + -2 + 4r + -3r = 8 Combine like terms: -2 + -2 = -4 -4 + 4r + -3r = 8 Combine like terms: 4r + -3r = 1r -4 + 1r = 8 Solving -4 + 1r = 8 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 + 1r = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 1r = 8 + 4 1r = 8 + 4 Combine like terms: 8 + 4 = 12 1r = 12 Divide each side by '1'. r = 12 Simplifying r = 12
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