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Simplifying -6(5s + 6) + 2(s + -4) = 0 Reorder the terms: -6(6 + 5s) + 2(s + -4) = 0 (6 * -6 + 5s * -6) + 2(s + -4) = 0 (-36 + -30s) + 2(s + -4) = 0 Reorder the terms: -36 + -30s + 2(-4 + s) = 0 -36 + -30s + (-4 * 2 + s * 2) = 0 -36 + -30s + (-8 + 2s) = 0 Reorder the terms: -36 + -8 + -30s + 2s = 0 Combine like terms: -36 + -8 = -44 -44 + -30s + 2s = 0 Combine like terms: -30s + 2s = -28s -44 + -28s = 0 Solving -44 + -28s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -28s = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -28s = 0 + 44 -28s = 0 + 44 Combine like terms: 0 + 44 = 44 -28s = 44 Divide each side by '-28'. s = -1.571428571 Simplifying s = -1.571428571
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