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Simplifying 4r + 5(r + 3) = 19 + 5r Reorder the terms: 4r + 5(3 + r) = 19 + 5r 4r + (3 * 5 + r * 5) = 19 + 5r 4r + (15 + 5r) = 19 + 5r Reorder the terms: 15 + 4r + 5r = 19 + 5r Combine like terms: 4r + 5r = 9r 15 + 9r = 19 + 5r Solving 15 + 9r = 19 + 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. 15 + 9r + -5r = 19 + 5r + -5r Combine like terms: 9r + -5r = 4r 15 + 4r = 19 + 5r + -5r Combine like terms: 5r + -5r = 0 15 + 4r = 19 + 0 15 + 4r = 19 Add '-15' to each side of the equation. 15 + -15 + 4r = 19 + -15 Combine like terms: 15 + -15 = 0 0 + 4r = 19 + -15 4r = 19 + -15 Combine like terms: 19 + -15 = 4 4r = 4 Divide each side by '4'. r = 1 Simplifying r = 1
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