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Simplifying 5r + 32 = -7(3 + 7r) + r Reorder the terms: 32 + 5r = -7(3 + 7r) + r 32 + 5r = (3 * -7 + 7r * -7) + r 32 + 5r = (-21 + -49r) + r Combine like terms: -49r + r = -48r 32 + 5r = -21 + -48r Solving 32 + 5r = -21 + -48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48r' to each side of the equation. 32 + 5r + 48r = -21 + -48r + 48r Combine like terms: 5r + 48r = 53r 32 + 53r = -21 + -48r + 48r Combine like terms: -48r + 48r = 0 32 + 53r = -21 + 0 32 + 53r = -21 Add '-32' to each side of the equation. 32 + -32 + 53r = -21 + -32 Combine like terms: 32 + -32 = 0 0 + 53r = -21 + -32 53r = -21 + -32 Combine like terms: -21 + -32 = -53 53r = -53 Divide each side by '53'. r = -1 Simplifying r = -1
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