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Simplifying 2(s + 3) + 6(s + -4) + 1 = 0 Reorder the terms: 2(3 + s) + 6(s + -4) + 1 = 0 (3 * 2 + s * 2) + 6(s + -4) + 1 = 0 (6 + 2s) + 6(s + -4) + 1 = 0 Reorder the terms: 6 + 2s + 6(-4 + s) + 1 = 0 6 + 2s + (-4 * 6 + s * 6) + 1 = 0 6 + 2s + (-24 + 6s) + 1 = 0 Reorder the terms: 6 + -24 + 1 + 2s + 6s = 0 Combine like terms: 6 + -24 = -18 -18 + 1 + 2s + 6s = 0 Combine like terms: -18 + 1 = -17 -17 + 2s + 6s = 0 Combine like terms: 2s + 6s = 8s -17 + 8s = 0 Solving -17 + 8s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8s = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 8s = 0 + 17 8s = 0 + 17 Combine like terms: 0 + 17 = 17 8s = 17 Divide each side by '8'. s = 2.125 Simplifying s = 2.125
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