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Simplifying 10 + 1 + -3r + -4 = 3r + 7 Reorder the terms: 10 + 1 + -4 + -3r = 3r + 7 Combine like terms: 10 + 1 = 11 11 + -4 + -3r = 3r + 7 Combine like terms: 11 + -4 = 7 7 + -3r = 3r + 7 Reorder the terms: 7 + -3r = 7 + 3r Add '-7' to each side of the equation. 7 + -7 + -3r = 7 + -7 + 3r Combine like terms: 7 + -7 = 0 0 + -3r = 7 + -7 + 3r -3r = 7 + -7 + 3r Combine like terms: 7 + -7 = 0 -3r = 0 + 3r -3r = 3r Solving -3r = 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -3r + -3r = 3r + -3r Combine like terms: -3r + -3r = -6r -6r = 3r + -3r Combine like terms: 3r + -3r = 0 -6r = 0 Divide each side by '-6'. r = 0 Simplifying r = 0
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