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Simplifying 3(-6s + 12) + -1(10s + -6) = 0 Reorder the terms: 3(12 + -6s) + -1(10s + -6) = 0 (12 * 3 + -6s * 3) + -1(10s + -6) = 0 (36 + -18s) + -1(10s + -6) = 0 Reorder the terms: 36 + -18s + -1(-6 + 10s) = 0 36 + -18s + (-6 * -1 + 10s * -1) = 0 36 + -18s + (6 + -10s) = 0 Reorder the terms: 36 + 6 + -18s + -10s = 0 Combine like terms: 36 + 6 = 42 42 + -18s + -10s = 0 Combine like terms: -18s + -10s = -28s 42 + -28s = 0 Solving 42 + -28s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -28s = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -28s = 0 + -42 -28s = 0 + -42 Combine like terms: 0 + -42 = -42 -28s = -42 Divide each side by '-28'. s = 1.5 Simplifying s = 1.5
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