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Simplifying 4(3 + -1r) + r = 22 + 2r (3 * 4 + -1r * 4) + r = 22 + 2r (12 + -4r) + r = 22 + 2r Combine like terms: -4r + r = -3r 12 + -3r = 22 + 2r Solving 12 + -3r = 22 + 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. 12 + -3r + -2r = 22 + 2r + -2r Combine like terms: -3r + -2r = -5r 12 + -5r = 22 + 2r + -2r Combine like terms: 2r + -2r = 0 12 + -5r = 22 + 0 12 + -5r = 22 Add '-12' to each side of the equation. 12 + -12 + -5r = 22 + -12 Combine like terms: 12 + -12 = 0 0 + -5r = 22 + -12 -5r = 22 + -12 Combine like terms: 22 + -12 = 10 -5r = 10 Divide each side by '-5'. r = -2 Simplifying r = -2
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