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Simplifying 3r + -6 = 2r + -5 + 6 Reorder the terms: -6 + 3r = 2r + -5 + 6 Reorder the terms: -6 + 3r = -5 + 6 + 2r Combine like terms: -5 + 6 = 1 -6 + 3r = 1 + 2r Solving -6 + 3r = 1 + 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. -6 + 3r + -2r = 1 + 2r + -2r Combine like terms: 3r + -2r = 1r -6 + 1r = 1 + 2r + -2r Combine like terms: 2r + -2r = 0 -6 + 1r = 1 + 0 -6 + 1r = 1 Add '6' to each side of the equation. -6 + 6 + 1r = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 1r = 1 + 6 1r = 1 + 6 Combine like terms: 1 + 6 = 7 1r = 7 Divide each side by '1'. r = 7 Simplifying r = 7
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