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Simplifying 9r + 4(r + 5) = 4(2r + -3) + -29 Reorder the terms: 9r + 4(5 + r) = 4(2r + -3) + -29 9r + (5 * 4 + r * 4) = 4(2r + -3) + -29 9r + (20 + 4r) = 4(2r + -3) + -29 Reorder the terms: 20 + 9r + 4r = 4(2r + -3) + -29 Combine like terms: 9r + 4r = 13r 20 + 13r = 4(2r + -3) + -29 Reorder the terms: 20 + 13r = 4(-3 + 2r) + -29 20 + 13r = (-3 * 4 + 2r * 4) + -29 20 + 13r = (-12 + 8r) + -29 Reorder the terms: 20 + 13r = -12 + -29 + 8r Combine like terms: -12 + -29 = -41 20 + 13r = -41 + 8r Solving 20 + 13r = -41 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 20 + 13r + -8r = -41 + 8r + -8r Combine like terms: 13r + -8r = 5r 20 + 5r = -41 + 8r + -8r Combine like terms: 8r + -8r = 0 20 + 5r = -41 + 0 20 + 5r = -41 Add '-20' to each side of the equation. 20 + -20 + 5r = -41 + -20 Combine like terms: 20 + -20 = 0 0 + 5r = -41 + -20 5r = -41 + -20 Combine like terms: -41 + -20 = -61 5r = -61 Divide each side by '5'. r = -12.2 Simplifying r = -12.2
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