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Simplifying 2r + 55 = 6r + 7 + -2r Reorder the terms: 55 + 2r = 6r + 7 + -2r Reorder the terms: 55 + 2r = 7 + 6r + -2r Combine like terms: 6r + -2r = 4r 55 + 2r = 7 + 4r Solving 55 + 2r = 7 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 55 + 2r + -4r = 7 + 4r + -4r Combine like terms: 2r + -4r = -2r 55 + -2r = 7 + 4r + -4r Combine like terms: 4r + -4r = 0 55 + -2r = 7 + 0 55 + -2r = 7 Add '-55' to each side of the equation. 55 + -55 + -2r = 7 + -55 Combine like terms: 55 + -55 = 0 0 + -2r = 7 + -55 -2r = 7 + -55 Combine like terms: 7 + -55 = -48 -2r = -48 Divide each side by '-2'. r = 24 Simplifying r = 24
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