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Simplifying 9r + -3(r + 5) = 4(2r + -5) + -9 Reorder the terms: 9r + -3(5 + r) = 4(2r + -5) + -9 9r + (5 * -3 + r * -3) = 4(2r + -5) + -9 9r + (-15 + -3r) = 4(2r + -5) + -9 Reorder the terms: -15 + 9r + -3r = 4(2r + -5) + -9 Combine like terms: 9r + -3r = 6r -15 + 6r = 4(2r + -5) + -9 Reorder the terms: -15 + 6r = 4(-5 + 2r) + -9 -15 + 6r = (-5 * 4 + 2r * 4) + -9 -15 + 6r = (-20 + 8r) + -9 Reorder the terms: -15 + 6r = -20 + -9 + 8r Combine like terms: -20 + -9 = -29 -15 + 6r = -29 + 8r Solving -15 + 6r = -29 + 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. -15 + 6r + -8r = -29 + 8r + -8r Combine like terms: 6r + -8r = -2r -15 + -2r = -29 + 8r + -8r Combine like terms: 8r + -8r = 0 -15 + -2r = -29 + 0 -15 + -2r = -29 Add '15' to each side of the equation. -15 + 15 + -2r = -29 + 15 Combine like terms: -15 + 15 = 0 0 + -2r = -29 + 15 -2r = -29 + 15 Combine like terms: -29 + 15 = -14 -2r = -14 Divide each side by '-2'. r = 7 Simplifying r = 7
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