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Simplifying 4r + (-3) = 3(3r + 4) 4r + -3 = 3(3r + 4) Reorder the terms: -3 + 4r = 3(3r + 4) Reorder the terms: -3 + 4r = 3(4 + 3r) -3 + 4r = (4 * 3 + 3r * 3) -3 + 4r = (12 + 9r) Solving -3 + 4r = 12 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -3 + 4r + -9r = 12 + 9r + -9r Combine like terms: 4r + -9r = -5r -3 + -5r = 12 + 9r + -9r Combine like terms: 9r + -9r = 0 -3 + -5r = 12 + 0 -3 + -5r = 12 Add '3' to each side of the equation. -3 + 3 + -5r = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -5r = 12 + 3 -5r = 12 + 3 Combine like terms: 12 + 3 = 15 -5r = 15 Divide each side by '-5'. r = -3 Simplifying r = -3
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