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Simplifying 4(r + -1) + 2(r + 3) = 6 Reorder the terms: 4(-1 + r) + 2(r + 3) = 6 (-1 * 4 + r * 4) + 2(r + 3) = 6 (-4 + 4r) + 2(r + 3) = 6 Reorder the terms: -4 + 4r + 2(3 + r) = 6 -4 + 4r + (3 * 2 + r * 2) = 6 -4 + 4r + (6 + 2r) = 6 Reorder the terms: -4 + 6 + 4r + 2r = 6 Combine like terms: -4 + 6 = 2 2 + 4r + 2r = 6 Combine like terms: 4r + 2r = 6r 2 + 6r = 6 Solving 2 + 6r = 6 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6r = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 6r = 6 + -2 6r = 6 + -2 Combine like terms: 6 + -2 = 4 6r = 4 Divide each side by '6'. r = 0.6666666667 Simplifying r = 0.6666666667
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