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Simplifying 32 + 3r = 7(r + 8) Reorder the terms: 32 + 3r = 7(8 + r) 32 + 3r = (8 * 7 + r * 7) 32 + 3r = (56 + 7r) Solving 32 + 3r = 56 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 32 + 3r + -7r = 56 + 7r + -7r Combine like terms: 3r + -7r = -4r 32 + -4r = 56 + 7r + -7r Combine like terms: 7r + -7r = 0 32 + -4r = 56 + 0 32 + -4r = 56 Add '-32' to each side of the equation. 32 + -32 + -4r = 56 + -32 Combine like terms: 32 + -32 = 0 0 + -4r = 56 + -32 -4r = 56 + -32 Combine like terms: 56 + -32 = 24 -4r = 24 Divide each side by '-4'. r = -6 Simplifying r = -6
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