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Simplifying -7 + 3r + 8 = 16 + 6r Reorder the terms: -7 + 8 + 3r = 16 + 6r Combine like terms: -7 + 8 = 1 1 + 3r = 16 + 6r Solving 1 + 3r = 16 + 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. 1 + 3r + -6r = 16 + 6r + -6r Combine like terms: 3r + -6r = -3r 1 + -3r = 16 + 6r + -6r Combine like terms: 6r + -6r = 0 1 + -3r = 16 + 0 1 + -3r = 16 Add '-1' to each side of the equation. 1 + -1 + -3r = 16 + -1 Combine like terms: 1 + -1 = 0 0 + -3r = 16 + -1 -3r = 16 + -1 Combine like terms: 16 + -1 = 15 -3r = 15 Divide each side by '-3'. r = -5 Simplifying r = -5
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