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Simplifying 4(5s + -3) + 12 = 5(s + -2) + -1(3s + 2) Reorder the terms: 4(-3 + 5s) + 12 = 5(s + -2) + -1(3s + 2) (-3 * 4 + 5s * 4) + 12 = 5(s + -2) + -1(3s + 2) (-12 + 20s) + 12 = 5(s + -2) + -1(3s + 2) Reorder the terms: -12 + 12 + 20s = 5(s + -2) + -1(3s + 2) Combine like terms: -12 + 12 = 0 0 + 20s = 5(s + -2) + -1(3s + 2) 20s = 5(s + -2) + -1(3s + 2) Reorder the terms: 20s = 5(-2 + s) + -1(3s + 2) 20s = (-2 * 5 + s * 5) + -1(3s + 2) 20s = (-10 + 5s) + -1(3s + 2) Reorder the terms: 20s = -10 + 5s + -1(2 + 3s) 20s = -10 + 5s + (2 * -1 + 3s * -1) 20s = -10 + 5s + (-2 + -3s) Reorder the terms: 20s = -10 + -2 + 5s + -3s Combine like terms: -10 + -2 = -12 20s = -12 + 5s + -3s Combine like terms: 5s + -3s = 2s 20s = -12 + 2s Solving 20s = -12 + 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. 20s + -2s = -12 + 2s + -2s Combine like terms: 20s + -2s = 18s 18s = -12 + 2s + -2s Combine like terms: 2s + -2s = 0 18s = -12 + 0 18s = -12 Divide each side by '18'. s = -0.6666666667 Simplifying s = -0.6666666667
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