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Simplifying 4(5s + -11) + -8(2s + 7) = 0 Reorder the terms: 4(-11 + 5s) + -8(2s + 7) = 0 (-11 * 4 + 5s * 4) + -8(2s + 7) = 0 (-44 + 20s) + -8(2s + 7) = 0 Reorder the terms: -44 + 20s + -8(7 + 2s) = 0 -44 + 20s + (7 * -8 + 2s * -8) = 0 -44 + 20s + (-56 + -16s) = 0 Reorder the terms: -44 + -56 + 20s + -16s = 0 Combine like terms: -44 + -56 = -100 -100 + 20s + -16s = 0 Combine like terms: 20s + -16s = 4s -100 + 4s = 0 Solving -100 + 4s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 4s = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 4s = 0 + 100 4s = 0 + 100 Combine like terms: 0 + 100 = 100 4s = 100 Divide each side by '4'. s = 25 Simplifying s = 25
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