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Simplifying r + 32 = -1(8 + -7r) + -8 Reorder the terms: 32 + r = -1(8 + -7r) + -8 32 + r = (8 * -1 + -7r * -1) + -8 32 + r = (-8 + 7r) + -8 Reorder the terms: 32 + r = -8 + -8 + 7r Combine like terms: -8 + -8 = -16 32 + r = -16 + 7r Solving 32 + r = -16 + 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 + r + -7r = -16 + 7r + -7r Combine like terms: r + -7r = -6r 32 + -6r = -16 + 7r + -7r Combine like terms: 7r + -7r = 0 32 + -6r = -16 + 0 32 + -6r = -16 Add '-32' to each side of the equation. 32 + -32 + -6r = -16 + -32 Combine like terms: 32 + -32 = 0 0 + -6r = -16 + -32 -6r = -16 + -32 Combine like terms: -16 + -32 = -48 -6r = -48 Divide each side by '-6'. r = 8 Simplifying r = 8
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