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Simplifying 7(1 + -1s) = 2(5s + 4) + 6s (1 * 7 + -1s * 7) = 2(5s + 4) + 6s (7 + -7s) = 2(5s + 4) + 6s Reorder the terms: 7 + -7s = 2(4 + 5s) + 6s 7 + -7s = (4 * 2 + 5s * 2) + 6s 7 + -7s = (8 + 10s) + 6s Combine like terms: 10s + 6s = 16s 7 + -7s = 8 + 16s Solving 7 + -7s = 8 + 16s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-16s' to each side of the equation. 7 + -7s + -16s = 8 + 16s + -16s Combine like terms: -7s + -16s = -23s 7 + -23s = 8 + 16s + -16s Combine like terms: 16s + -16s = 0 7 + -23s = 8 + 0 7 + -23s = 8 Add '-7' to each side of the equation. 7 + -7 + -23s = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -23s = 8 + -7 -23s = 8 + -7 Combine like terms: 8 + -7 = 1 -23s = 1 Divide each side by '-23'. s = -0.04347826087 Simplifying s = -0.04347826087
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