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Simplifying 3x + -2 + 5x + 2r + -8 + -7x = 0 Reorder the terms: -2 + -8 + 2r + 3x + 5x + -7x = 0 Combine like terms: -2 + -8 = -10 -10 + 2r + 3x + 5x + -7x = 0 Combine like terms: 3x + 5x = 8x -10 + 2r + 8x + -7x = 0 Combine like terms: 8x + -7x = 1x -10 + 2r + 1x = 0 Solving -10 + 2r + 1x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2r + 10 + 1x = 0 + 10 Reorder the terms: -10 + 10 + 2r + 1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2r + 1x = 0 + 10 2r + 1x = 0 + 10 Combine like terms: 0 + 10 = 10 2r + 1x = 10 Add '-1x' to each side of the equation. 2r + 1x + -1x = 10 + -1x Combine like terms: 1x + -1x = 0 2r + 0 = 10 + -1x 2r = 10 + -1x Divide each side by '2'. r = 5 + -0.5x Simplifying r = 5 + -0.5x
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