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Simplifying 3r + -1 + r = 2(1 + -2r) Reorder the terms: -1 + 3r + r = 2(1 + -2r) Combine like terms: 3r + r = 4r -1 + 4r = 2(1 + -2r) -1 + 4r = (1 * 2 + -2r * 2) -1 + 4r = (2 + -4r) Solving -1 + 4r = 2 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -1 + 4r + 4r = 2 + -4r + 4r Combine like terms: 4r + 4r = 8r -1 + 8r = 2 + -4r + 4r Combine like terms: -4r + 4r = 0 -1 + 8r = 2 + 0 -1 + 8r = 2 Add '1' to each side of the equation. -1 + 1 + 8r = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 8r = 2 + 1 8r = 2 + 1 Combine like terms: 2 + 1 = 3 8r = 3 Divide each side by '8'. r = 0.375 Simplifying r = 0.375
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