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Simplifying 9x + -3r + 5r + 12 = 0 Reorder the terms: 12 + -3r + 5r + 9x = 0 Combine like terms: -3r + 5r = 2r 12 + 2r + 9x = 0 Solving 12 + 2r + 9x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2r + -12 + 9x = 0 + -12 Reorder the terms: 12 + -12 + 2r + 9x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2r + 9x = 0 + -12 2r + 9x = 0 + -12 Combine like terms: 0 + -12 = -12 2r + 9x = -12 Add '-9x' to each side of the equation. 2r + 9x + -9x = -12 + -9x Combine like terms: 9x + -9x = 0 2r + 0 = -12 + -9x 2r = -12 + -9x Divide each side by '2'. r = -6 + -4.5x Simplifying r = -6 + -4.5x
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