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Simplifying 8r + -7(r + -8) + 3(s + -8) = 0 Reorder the terms: 8r + -7(-8 + r) + 3(s + -8) = 0 8r + (-8 * -7 + r * -7) + 3(s + -8) = 0 8r + (56 + -7r) + 3(s + -8) = 0 Reorder the terms: 8r + 56 + -7r + 3(-8 + s) = 0 8r + 56 + -7r + (-8 * 3 + s * 3) = 0 8r + 56 + -7r + (-24 + 3s) = 0 Reorder the terms: 56 + -24 + 8r + -7r + 3s = 0 Combine like terms: 56 + -24 = 32 32 + 8r + -7r + 3s = 0 Combine like terms: 8r + -7r = 1r 32 + 1r + 3s = 0 Solving 32 + 1r + 3s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 1r + -32 + 3s = 0 + -32 Reorder the terms: 32 + -32 + 1r + 3s = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 1r + 3s = 0 + -32 1r + 3s = 0 + -32 Combine like terms: 0 + -32 = -32 1r + 3s = -32 Add '-3s' to each side of the equation. 1r + 3s + -3s = -32 + -3s Combine like terms: 3s + -3s = 0 1r + 0 = -32 + -3s 1r = -32 + -3s Divide each side by '1'. r = -32 + -3s Simplifying r = -32 + -3s
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