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Simplifying -2r + 14 + -4r = 42 + -5r Reorder the terms: 14 + -2r + -4r = 42 + -5r Combine like terms: -2r + -4r = -6r 14 + -6r = 42 + -5r Solving 14 + -6r = 42 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 14 + -6r + 5r = 42 + -5r + 5r Combine like terms: -6r + 5r = -1r 14 + -1r = 42 + -5r + 5r Combine like terms: -5r + 5r = 0 14 + -1r = 42 + 0 14 + -1r = 42 Add '-14' to each side of the equation. 14 + -14 + -1r = 42 + -14 Combine like terms: 14 + -14 = 0 0 + -1r = 42 + -14 -1r = 42 + -14 Combine like terms: 42 + -14 = 28 -1r = 28 Divide each side by '-1'. r = -28 Simplifying r = -28
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