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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 = 5r -20 + 5r = 4(2r + -3) + -29 Reorder the terms: -20 + 5r = 4(-3 + 2r) + -29 -20 + 5r = (-3 * 4 + 2r * 4) + -29 -20 + 5r = (-12 + 8r) + -29 Reorder the terms: -20 + 5r = -12 + -29 + 8r Combine like terms: -12 + -29 = -41 -20 + 5r = -41 + 8r Solving -20 + 5r = -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 + 5r + -8r = -41 + 8r + -8r Combine like terms: 5r + -8r = -3r -20 + -3r = -41 + 8r + -8r Combine like terms: 8r + -8r = 0 -20 + -3r = -41 + 0 -20 + -3r = -41 Add '20' to each side of the equation. -20 + 20 + -3r = -41 + 20 Combine like terms: -20 + 20 = 0 0 + -3r = -41 + 20 -3r = -41 + 20 Combine like terms: -41 + 20 = -21 -3r = -21 Divide each side by '-3'. r = 7 Simplifying r = 7
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