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Simplifying 14 + 3r = 11r + -3(r + -4) Reorder the terms: 14 + 3r = 11r + -3(-4 + r) 14 + 3r = 11r + (-4 * -3 + r * -3) 14 + 3r = 11r + (12 + -3r) Reorder the terms: 14 + 3r = 12 + 11r + -3r Combine like terms: 11r + -3r = 8r 14 + 3r = 12 + 8r Solving 14 + 3r = 12 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 14 + 3r + -8r = 12 + 8r + -8r Combine like terms: 3r + -8r = -5r 14 + -5r = 12 + 8r + -8r Combine like terms: 8r + -8r = 0 14 + -5r = 12 + 0 14 + -5r = 12 Add '-14' to each side of the equation. 14 + -14 + -5r = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -5r = 12 + -14 -5r = 12 + -14 Combine like terms: 12 + -14 = -2 -5r = -2 Divide each side by '-5'. r = 0.4 Simplifying r = 0.4
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