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Simplifying 12(2s + -1) + -4(-2 + -1) = 2(s + 11) Reorder the terms: 12(-1 + 2s) + -4(-2 + -1) = 2(s + 11) (-1 * 12 + 2s * 12) + -4(-2 + -1) = 2(s + 11) (-12 + 24s) + -4(-2 + -1) = 2(s + 11) Combine like terms: -2 + -1 = -3 -12 + 24s + -4(-3) = 2(s + 11) Multiply -4 * -3 -12 + 24s + 12 = 2(s + 11) Reorder the terms: -12 + 12 + 24s = 2(s + 11) Combine like terms: -12 + 12 = 0 0 + 24s = 2(s + 11) 24s = 2(s + 11) Reorder the terms: 24s = 2(11 + s) 24s = (11 * 2 + s * 2) 24s = (22 + 2s) Solving 24s = 22 + 2s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-2s' to each side of the equation. 24s + -2s = 22 + 2s + -2s Combine like terms: 24s + -2s = 22s 22s = 22 + 2s + -2s Combine like terms: 2s + -2s = 0 22s = 22 + 0 22s = 22 Divide each side by '22'. s = 1 Simplifying s = 1
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