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Simplifying 3(8r + 2) = -1(-4 + 3r) + r Reorder the terms: 3(2 + 8r) = -1(-4 + 3r) + r (2 * 3 + 8r * 3) = -1(-4 + 3r) + r (6 + 24r) = -1(-4 + 3r) + r 6 + 24r = (-4 * -1 + 3r * -1) + r 6 + 24r = (4 + -3r) + r Combine like terms: -3r + r = -2r 6 + 24r = 4 + -2r Solving 6 + 24r = 4 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 6 + 24r + 2r = 4 + -2r + 2r Combine like terms: 24r + 2r = 26r 6 + 26r = 4 + -2r + 2r Combine like terms: -2r + 2r = 0 6 + 26r = 4 + 0 6 + 26r = 4 Add '-6' to each side of the equation. 6 + -6 + 26r = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 26r = 4 + -6 26r = 4 + -6 Combine like terms: 4 + -6 = -2 26r = -2 Divide each side by '26'. r = -0.07692307692 Simplifying r = -0.07692307692
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