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Simplifying 5r + 4 = 9(r + -3) Reorder the terms: 4 + 5r = 9(r + -3) Reorder the terms: 4 + 5r = 9(-3 + r) 4 + 5r = (-3 * 9 + r * 9) 4 + 5r = (-27 + 9r) Solving 4 + 5r = -27 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 4 + 5r + -9r = -27 + 9r + -9r Combine like terms: 5r + -9r = -4r 4 + -4r = -27 + 9r + -9r Combine like terms: 9r + -9r = 0 4 + -4r = -27 + 0 4 + -4r = -27 Add '-4' to each side of the equation. 4 + -4 + -4r = -27 + -4 Combine like terms: 4 + -4 = 0 0 + -4r = -27 + -4 -4r = -27 + -4 Combine like terms: -27 + -4 = -31 -4r = -31 Divide each side by '-4'. r = 7.75 Simplifying r = 7.75
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