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Simplifying 1 = 3(s + -4) + -1(s + 11) Reorder the terms: 1 = 3(-4 + s) + -1(s + 11) 1 = (-4 * 3 + s * 3) + -1(s + 11) 1 = (-12 + 3s) + -1(s + 11) Reorder the terms: 1 = -12 + 3s + -1(11 + s) 1 = -12 + 3s + (11 * -1 + s * -1) 1 = -12 + 3s + (-11 + -1s) Reorder the terms: 1 = -12 + -11 + 3s + -1s Combine like terms: -12 + -11 = -23 1 = -23 + 3s + -1s Combine like terms: 3s + -1s = 2s 1 = -23 + 2s Solving 1 = -23 + 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. 1 + -2s = -23 + 2s + -2s Combine like terms: 2s + -2s = 0 1 + -2s = -23 + 0 1 + -2s = -23 Add '-1' to each side of the equation. 1 + -1 + -2s = -23 + -1 Combine like terms: 1 + -1 = 0 0 + -2s = -23 + -1 -2s = -23 + -1 Combine like terms: -23 + -1 = -24 -2s = -24 Divide each side by '-2'. s = 12 Simplifying s = 12
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