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Simplifying 8(5s + -11) + -16(2s + 6) = 0 Reorder the terms: 8(-11 + 5s) + -16(2s + 6) = 0 (-11 * 8 + 5s * 8) + -16(2s + 6) = 0 (-88 + 40s) + -16(2s + 6) = 0 Reorder the terms: -88 + 40s + -16(6 + 2s) = 0 -88 + 40s + (6 * -16 + 2s * -16) = 0 -88 + 40s + (-96 + -32s) = 0 Reorder the terms: -88 + -96 + 40s + -32s = 0 Combine like terms: -88 + -96 = -184 -184 + 40s + -32s = 0 Combine like terms: 40s + -32s = 8s -184 + 8s = 0 Solving -184 + 8s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '184' to each side of the equation. -184 + 184 + 8s = 0 + 184 Combine like terms: -184 + 184 = 0 0 + 8s = 0 + 184 8s = 0 + 184 Combine like terms: 0 + 184 = 184 8s = 184 Divide each side by '8'. s = 23 Simplifying s = 23
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