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Simplifying 7 = 4 + r + 6 Reorder the terms: 7 = 4 + 6 + r Combine like terms: 4 + 6 = 10 7 = 10 + r Solving 7 = 10 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 7 + -1r = 10 + r + -1r Combine like terms: r + -1r = 0 7 + -1r = 10 + 0 7 + -1r = 10 Add '-7' to each side of the equation. 7 + -7 + -1r = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 10 + -7 -1r = 10 + -7 Combine like terms: 10 + -7 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3
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