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Simplifying 10 + 5r + -14 + 2r + -3r = 0 Reorder the terms: 10 + -14 + 5r + 2r + -3r = 0 Combine like terms: 10 + -14 = -4 -4 + 5r + 2r + -3r = 0 Combine like terms: 5r + 2r = 7r -4 + 7r + -3r = 0 Combine like terms: 7r + -3r = 4r -4 + 4r = 0 Solving -4 + 4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4r = 0 + 4 4r = 0 + 4 Combine like terms: 0 + 4 = 4 4r = 4 Divide each side by '4'. r = 1 Simplifying r = 1
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