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Simplifying 12(2s + -1) + -4(-2s + -1) = 2(s + 11) Reorder the terms: 12(-1 + 2s) + -4(-2s + -1) = 2(s + 11) (-1 * 12 + 2s * 12) + -4(-2s + -1) = 2(s + 11) (-12 + 24s) + -4(-2s + -1) = 2(s + 11) Reorder the terms: -12 + 24s + -4(-1 + -2s) = 2(s + 11) -12 + 24s + (-1 * -4 + -2s * -4) = 2(s + 11) -12 + 24s + (4 + 8s) = 2(s + 11) Reorder the terms: -12 + 4 + 24s + 8s = 2(s + 11) Combine like terms: -12 + 4 = -8 -8 + 24s + 8s = 2(s + 11) Combine like terms: 24s + 8s = 32s -8 + 32s = 2(s + 11) Reorder the terms: -8 + 32s = 2(11 + s) -8 + 32s = (11 * 2 + s * 2) -8 + 32s = (22 + 2s) Solving -8 + 32s = 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. -8 + 32s + -2s = 22 + 2s + -2s Combine like terms: 32s + -2s = 30s -8 + 30s = 22 + 2s + -2s Combine like terms: 2s + -2s = 0 -8 + 30s = 22 + 0 -8 + 30s = 22 Add '8' to each side of the equation. -8 + 8 + 30s = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 30s = 22 + 8 30s = 22 + 8 Combine like terms: 22 + 8 = 30 30s = 30 Divide each side by '30'. s = 1 Simplifying s = 1
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