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Simplifying 4 + 5r + -3r = -6r + 4 Combine like terms: 5r + -3r = 2r 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 = 8r 8r = -6r + 6r Combine like terms: -6r + 6r = 0 8r = 0 Divide each side by '8'. r = 0 Simplifying r = 0
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