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