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Simplifying 7 + 2r + -3 = 6r + 4 Reorder the terms: 7 + -3 + 2r = 6r + 4 Combine like terms: 7 + -3 = 4 4 + 2r = 6r + 4 Reorder the terms: 4 + 2r = 4 + 6r Add '-4' to each side of the equation. 4 + -4 + 2r = 4 + -4 + 6r Combine like terms: 4 + -4 = 0 0 + 2r = 4 + -4 + 6r 2r = 4 + -4 + 6r Combine like terms: 4 + -4 = 0 2r = 0 + 6r 2r = 6r Solving 2r = 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 2r + -6r = 6r + -6r Combine like terms: 2r + -6r = -4r -4r = 6r + -6r Combine like terms: 6r + -6r = 0 -4r = 0 Divide each side by '-4'. r = 0 Simplifying r = 0
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