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