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Simplifying 3r + 1 + -2 = 6 + 4r Reorder the terms: 1 + -2 + 3r = 6 + 4r Combine like terms: 1 + -2 = -1 -1 + 3r = 6 + 4r Solving -1 + 3r = 6 + 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. -1 + 3r + -4r = 6 + 4r + -4r Combine like terms: 3r + -4r = -1r -1 + -1r = 6 + 4r + -4r Combine like terms: 4r + -4r = 0 -1 + -1r = 6 + 0 -1 + -1r = 6 Add '1' to each side of the equation. -1 + 1 + -1r = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -1r = 6 + 1 -1r = 6 + 1 Combine like terms: 6 + 1 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7
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