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