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Simplifying 9r + -7 = 8 + 4(r + 5) Reorder the terms: -7 + 9r = 8 + 4(r + 5) Reorder the terms: -7 + 9r = 8 + 4(5 + r) -7 + 9r = 8 + (5 * 4 + r * 4) -7 + 9r = 8 + (20 + 4r) Combine like terms: 8 + 20 = 28 -7 + 9r = 28 + 4r Solving -7 + 9r = 28 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -7 + 9r + -4r = 28 + 4r + -4r Combine like terms: 9r + -4r = 5r -7 + 5r = 28 + 4r + -4r Combine like terms: 4r + -4r = 0 -7 + 5r = 28 + 0 -7 + 5r = 28 Add '7' to each side of the equation. -7 + 7 + 5r = 28 + 7 Combine like terms: -7 + 7 = 0 0 + 5r = 28 + 7 5r = 28 + 7 Combine like terms: 28 + 7 = 35 5r = 35 Divide each side by '5'. r = 7 Simplifying r = 7
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