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Simplifying 3r + 32 = 2(3r + 4) Reorder the terms: 32 + 3r = 2(3r + 4) Reorder the terms: 32 + 3r = 2(4 + 3r) 32 + 3r = (4 * 2 + 3r * 2) 32 + 3r = (8 + 6r) Solving 32 + 3r = 8 + 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. 32 + 3r + -6r = 8 + 6r + -6r Combine like terms: 3r + -6r = -3r 32 + -3r = 8 + 6r + -6r Combine like terms: 6r + -6r = 0 32 + -3r = 8 + 0 32 + -3r = 8 Add '-32' to each side of the equation. 32 + -32 + -3r = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -3r = 8 + -32 -3r = 8 + -32 Combine like terms: 8 + -32 = -24 -3r = -24 Divide each side by '-3'. r = 8 Simplifying r = 8
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