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Simplifying 8(5s + -11) + -16(2s + 8) = 0 Reorder the terms: 8(-11 + 5s) + -16(2s + 8) = 0 (-11 * 8 + 5s * 8) + -16(2s + 8) = 0 (-88 + 40s) + -16(2s + 8) = 0 Reorder the terms: -88 + 40s + -16(8 + 2s) = 0 -88 + 40s + (8 * -16 + 2s * -16) = 0 -88 + 40s + (-128 + -32s) = 0 Reorder the terms: -88 + -128 + 40s + -32s = 0 Combine like terms: -88 + -128 = -216 -216 + 40s + -32s = 0 Combine like terms: 40s + -32s = 8s -216 + 8s = 0 Solving -216 + 8s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '216' to each side of the equation. -216 + 216 + 8s = 0 + 216 Combine like terms: -216 + 216 = 0 0 + 8s = 0 + 216 8s = 0 + 216 Combine like terms: 0 + 216 = 216 8s = 216 Divide each side by '8'. s = 27 Simplifying s = 27
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