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Simplifying 12 + -1(-4) = 8r + -9 + -3r Multiply -1 * -4 12 + 4 = 8r + -9 + -3r Combine like terms: 12 + 4 = 16 16 = 8r + -9 + -3r Reorder the terms: 16 = -9 + 8r + -3r Combine like terms: 8r + -3r = 5r 16 = -9 + 5r Solving 16 = -9 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 16 + -5r = -9 + 5r + -5r Combine like terms: 5r + -5r = 0 16 + -5r = -9 + 0 16 + -5r = -9 Add '-16' to each side of the equation. 16 + -16 + -5r = -9 + -16 Combine like terms: 16 + -16 = 0 0 + -5r = -9 + -16 -5r = -9 + -16 Combine like terms: -9 + -16 = -25 -5r = -25 Divide each side by '-5'. r = 5 Simplifying r = 5
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