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Simplifying 2r + -1(-4 + r) = 7 + -2r 2r + (-4 * -1 + r * -1) = 7 + -2r 2r + (4 + -1r) = 7 + -2r Reorder the terms: 4 + 2r + -1r = 7 + -2r Combine like terms: 2r + -1r = 1r 4 + 1r = 7 + -2r Solving 4 + 1r = 7 + -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. 4 + 1r + 2r = 7 + -2r + 2r Combine like terms: 1r + 2r = 3r 4 + 3r = 7 + -2r + 2r Combine like terms: -2r + 2r = 0 4 + 3r = 7 + 0 4 + 3r = 7 Add '-4' to each side of the equation. 4 + -4 + 3r = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 3r = 7 + -4 3r = 7 + -4 Combine like terms: 7 + -4 = 3 3r = 3 Divide each side by '3'. r = 1 Simplifying r = 1
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