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Simplifying 28 + 7r = 3(4r + 1) Reorder the terms: 28 + 7r = 3(1 + 4r) 28 + 7r = (1 * 3 + 4r * 3) 28 + 7r = (3 + 12r) Solving 28 + 7r = 3 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 28 + 7r + -12r = 3 + 12r + -12r Combine like terms: 7r + -12r = -5r 28 + -5r = 3 + 12r + -12r Combine like terms: 12r + -12r = 0 28 + -5r = 3 + 0 28 + -5r = 3 Add '-28' to each side of the equation. 28 + -28 + -5r = 3 + -28 Combine like terms: 28 + -28 = 0 0 + -5r = 3 + -28 -5r = 3 + -28 Combine like terms: 3 + -28 = -25 -5r = -25 Divide each side by '-5'. r = 5 Simplifying r = 5
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