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Simplifying 3 + -0.8(s + -5) = 0.4(12s + -5) Reorder the terms: 3 + -0.8(-5 + s) = 0.4(12s + -5) 3 + (-5 * -0.8 + s * -0.8) = 0.4(12s + -5) 3 + (4 + -0.8s) = 0.4(12s + -5) Combine like terms: 3 + 4 = 7 7 + -0.8s = 0.4(12s + -5) Reorder the terms: 7 + -0.8s = 0.4(-5 + 12s) 7 + -0.8s = (-5 * 0.4 + 12s * 0.4) 7 + -0.8s = (-2 + 4.8s) Solving 7 + -0.8s = -2 + 4.8s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-4.8s' to each side of the equation. 7 + -0.8s + -4.8s = -2 + 4.8s + -4.8s Combine like terms: -0.8s + -4.8s = -5.6s 7 + -5.6s = -2 + 4.8s + -4.8s Combine like terms: 4.8s + -4.8s = 0.0 7 + -5.6s = -2 + 0.0 7 + -5.6s = -2 Add '-7' to each side of the equation. 7 + -7 + -5.6s = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -5.6s = -2 + -7 -5.6s = -2 + -7 Combine like terms: -2 + -7 = -9 -5.6s = -9 Divide each side by '-5.6'. s = 1.607142857 Simplifying s = 1.607142857
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