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Simplifying 14r + -24 + 2r = 3 + 2r + 7 Reorder the terms: -24 + 14r + 2r = 3 + 2r + 7 Combine like terms: 14r + 2r = 16r -24 + 16r = 3 + 2r + 7 Reorder the terms: -24 + 16r = 3 + 7 + 2r Combine like terms: 3 + 7 = 10 -24 + 16r = 10 + 2r Solving -24 + 16r = 10 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -24 + 16r + -2r = 10 + 2r + -2r Combine like terms: 16r + -2r = 14r -24 + 14r = 10 + 2r + -2r Combine like terms: 2r + -2r = 0 -24 + 14r = 10 + 0 -24 + 14r = 10 Add '24' to each side of the equation. -24 + 24 + 14r = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 14r = 10 + 24 14r = 10 + 24 Combine like terms: 10 + 24 = 34 14r = 34 Divide each side by '14'. r = 2.428571429 Simplifying r = 2.428571429
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