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Simplifying 5(7 + 2s) + 3(s + 4) = 0 (7 * 5 + 2s * 5) + 3(s + 4) = 0 (35 + 10s) + 3(s + 4) = 0 Reorder the terms: 35 + 10s + 3(4 + s) = 0 35 + 10s + (4 * 3 + s * 3) = 0 35 + 10s + (12 + 3s) = 0 Reorder the terms: 35 + 12 + 10s + 3s = 0 Combine like terms: 35 + 12 = 47 47 + 10s + 3s = 0 Combine like terms: 10s + 3s = 13s 47 + 13s = 0 Solving 47 + 13s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 13s = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 13s = 0 + -47 13s = 0 + -47 Combine like terms: 0 + -47 = -47 13s = -47 Divide each side by '13'. s = -3.615384615 Simplifying s = -3.615384615
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