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Simplifying 4(3s + -4) + 12 = 6(s + -1) + -1(3s + 2) Reorder the terms: 4(-4 + 3s) + 12 = 6(s + -1) + -1(3s + 2) (-4 * 4 + 3s * 4) + 12 = 6(s + -1) + -1(3s + 2) (-16 + 12s) + 12 = 6(s + -1) + -1(3s + 2) Reorder the terms: -16 + 12 + 12s = 6(s + -1) + -1(3s + 2) Combine like terms: -16 + 12 = -4 -4 + 12s = 6(s + -1) + -1(3s + 2) Reorder the terms: -4 + 12s = 6(-1 + s) + -1(3s + 2) -4 + 12s = (-1 * 6 + s * 6) + -1(3s + 2) -4 + 12s = (-6 + 6s) + -1(3s + 2) Reorder the terms: -4 + 12s = -6 + 6s + -1(2 + 3s) -4 + 12s = -6 + 6s + (2 * -1 + 3s * -1) -4 + 12s = -6 + 6s + (-2 + -3s) Reorder the terms: -4 + 12s = -6 + -2 + 6s + -3s Combine like terms: -6 + -2 = -8 -4 + 12s = -8 + 6s + -3s Combine like terms: 6s + -3s = 3s -4 + 12s = -8 + 3s Solving -4 + 12s = -8 + 3s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3s' to each side of the equation. -4 + 12s + -3s = -8 + 3s + -3s Combine like terms: 12s + -3s = 9s -4 + 9s = -8 + 3s + -3s Combine like terms: 3s + -3s = 0 -4 + 9s = -8 + 0 -4 + 9s = -8 Add '4' to each side of the equation. -4 + 4 + 9s = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 9s = -8 + 4 9s = -8 + 4 Combine like terms: -8 + 4 = -4 9s = -4 Divide each side by '9'. s = -0.4444444444 Simplifying s = -0.4444444444
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