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Simplifying 4r + 9(2r + -3) = 32r + 1 Reorder the terms: 4r + 9(-3 + 2r) = 32r + 1 4r + (-3 * 9 + 2r * 9) = 32r + 1 4r + (-27 + 18r) = 32r + 1 Reorder the terms: -27 + 4r + 18r = 32r + 1 Combine like terms: 4r + 18r = 22r -27 + 22r = 32r + 1 Reorder the terms: -27 + 22r = 1 + 32r Solving -27 + 22r = 1 + 32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32r' to each side of the equation. -27 + 22r + -32r = 1 + 32r + -32r Combine like terms: 22r + -32r = -10r -27 + -10r = 1 + 32r + -32r Combine like terms: 32r + -32r = 0 -27 + -10r = 1 + 0 -27 + -10r = 1 Add '27' to each side of the equation. -27 + 27 + -10r = 1 + 27 Combine like terms: -27 + 27 = 0 0 + -10r = 1 + 27 -10r = 1 + 27 Combine like terms: 1 + 27 = 28 -10r = 28 Divide each side by '-10'. r = -2.8 Simplifying r = -2.8
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