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Simplifying 1 + -2r = -3 + 2(1 + r) 1 + -2r = -3 + (1 * 2 + r * 2) 1 + -2r = -3 + (2 + 2r) Combine like terms: -3 + 2 = -1 1 + -2r = -1 + 2r Solving 1 + -2r = -1 + 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. 1 + -2r + -2r = -1 + 2r + -2r Combine like terms: -2r + -2r = -4r 1 + -4r = -1 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + -4r = -1 + 0 1 + -4r = -1 Add '-1' to each side of the equation. 1 + -1 + -4r = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -4r = -1 + -1 -4r = -1 + -1 Combine like terms: -1 + -1 = -2 -4r = -2 Divide each side by '-4'. r = 0.5 Simplifying r = 0.5
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