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Simplifying 3s + -5(6 + -2s) = 4(s + -8) + 3 3s + (6 * -5 + -2s * -5) = 4(s + -8) + 3 3s + (-30 + 10s) = 4(s + -8) + 3 Reorder the terms: -30 + 3s + 10s = 4(s + -8) + 3 Combine like terms: 3s + 10s = 13s -30 + 13s = 4(s + -8) + 3 Reorder the terms: -30 + 13s = 4(-8 + s) + 3 -30 + 13s = (-8 * 4 + s * 4) + 3 -30 + 13s = (-32 + 4s) + 3 Reorder the terms: -30 + 13s = -32 + 3 + 4s Combine like terms: -32 + 3 = -29 -30 + 13s = -29 + 4s Solving -30 + 13s = -29 + 4s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-4s' to each side of the equation. -30 + 13s + -4s = -29 + 4s + -4s Combine like terms: 13s + -4s = 9s -30 + 9s = -29 + 4s + -4s Combine like terms: 4s + -4s = 0 -30 + 9s = -29 + 0 -30 + 9s = -29 Add '30' to each side of the equation. -30 + 30 + 9s = -29 + 30 Combine like terms: -30 + 30 = 0 0 + 9s = -29 + 30 9s = -29 + 30 Combine like terms: -29 + 30 = 1 9s = 1 Divide each side by '9'. s = 0.1111111111 Simplifying s = 0.1111111111
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