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Simplifying 5(2r + -3) + 7r = 3(4r + 5) Reorder the terms: 5(-3 + 2r) + 7r = 3(4r + 5) (-3 * 5 + 2r * 5) + 7r = 3(4r + 5) (-15 + 10r) + 7r = 3(4r + 5) Combine like terms: 10r + 7r = 17r -15 + 17r = 3(4r + 5) Reorder the terms: -15 + 17r = 3(5 + 4r) -15 + 17r = (5 * 3 + 4r * 3) -15 + 17r = (15 + 12r) Solving -15 + 17r = 15 + 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. -15 + 17r + -12r = 15 + 12r + -12r Combine like terms: 17r + -12r = 5r -15 + 5r = 15 + 12r + -12r Combine like terms: 12r + -12r = 0 -15 + 5r = 15 + 0 -15 + 5r = 15 Add '15' to each side of the equation. -15 + 15 + 5r = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 5r = 15 + 15 5r = 15 + 15 Combine like terms: 15 + 15 = 30 5r = 30 Divide each side by '5'. r = 6 Simplifying r = 6
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