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Simplifying 3(6s + 12) + -1(10s) = 0 Reorder the terms: 3(12 + 6s) + -1(10s) = 0 (12 * 3 + 6s * 3) + -1(10s) = 0 (36 + 18s) + -1(10s) = 0 Remove parenthesis around (10s) 36 + 18s + -1 * 10s = 0 Multiply -1 * 10 36 + 18s + -10s = 0 Combine like terms: 18s + -10s = 8s 36 + 8s = 0 Solving 36 + 8s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 8s = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 8s = 0 + -36 8s = 0 + -36 Combine like terms: 0 + -36 = -36 8s = -36 Divide each side by '8'. s = -4.5 Simplifying s = -4.5
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