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Simplifying 7 + 9 + 7r = 4(3 + 2r) + -3 Combine like terms: 7 + 9 = 16 16 + 7r = 4(3 + 2r) + -3 16 + 7r = (3 * 4 + 2r * 4) + -3 16 + 7r = (12 + 8r) + -3 Reorder the terms: 16 + 7r = 12 + -3 + 8r Combine like terms: 12 + -3 = 9 16 + 7r = 9 + 8r Solving 16 + 7r = 9 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 16 + 7r + -8r = 9 + 8r + -8r Combine like terms: 7r + -8r = -1r 16 + -1r = 9 + 8r + -8r Combine like terms: 8r + -8r = 0 16 + -1r = 9 + 0 16 + -1r = 9 Add '-16' to each side of the equation. 16 + -16 + -1r = 9 + -16 Combine like terms: 16 + -16 = 0 0 + -1r = 9 + -16 -1r = 9 + -16 Combine like terms: 9 + -16 = -7 -1r = -7 Divide each side by '-1'. r = 7 Simplifying r = 7
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