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Simplifying 3r + -2 + 4r + -2 = 3r + -2r + 7r + 1 Reorder the terms: -2 + -2 + 3r + 4r = 3r + -2r + 7r + 1 Combine like terms: -2 + -2 = -4 -4 + 3r + 4r = 3r + -2r + 7r + 1 Combine like terms: 3r + 4r = 7r -4 + 7r = 3r + -2r + 7r + 1 Reorder the terms: -4 + 7r = 1 + 3r + -2r + 7r Combine like terms: 3r + -2r = 1r -4 + 7r = 1 + 1r + 7r Combine like terms: 1r + 7r = 8r -4 + 7r = 1 + 8r Solving -4 + 7r = 1 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -4 + 7r + -8r = 1 + 8r + -8r Combine like terms: 7r + -8r = -1r -4 + -1r = 1 + 8r + -8r Combine like terms: 8r + -8r = 0 -4 + -1r = 1 + 0 -4 + -1r = 1 Add '4' to each side of the equation. -4 + 4 + -1r = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -1r = 1 + 4 -1r = 1 + 4 Combine like terms: 1 + 4 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5
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