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Simplifying 33.7 + -1(1.5s + 2.3) = 3.4a + -1(0.4 + -5.7) Reorder the terms: 33.7 + -1(2.3 + 1.5s) = 3.4a + -1(0.4 + -5.7) 33.7 + (2.3 * -1 + 1.5s * -1) = 3.4a + -1(0.4 + -5.7) 33.7 + (-2.3 + -1.5s) = 3.4a + -1(0.4 + -5.7) Combine like terms: 33.7 + -2.3 = 31.4 31.4 + -1.5s = 3.4a + -1(0.4 + -5.7) Combine like terms: 0.4 + -5.7 = -5.3 31.4 + -1.5s = 3.4a + -1(-5.3) Multiply -1 * -5.3 31.4 + -1.5s = 3.4a + 5.3 Reorder the terms: 31.4 + -1.5s = 5.3 + 3.4a Solving 31.4 + -1.5s = 5.3 + 3.4a Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-31.4' to each side of the equation. 31.4 + -31.4 + -1.5s = 5.3 + -31.4 + 3.4a Combine like terms: 31.4 + -31.4 = 0.0 0.0 + -1.5s = 5.3 + -31.4 + 3.4a -1.5s = 5.3 + -31.4 + 3.4a Combine like terms: 5.3 + -31.4 = -26.1 -1.5s = -26.1 + 3.4a Divide each side by '-1.5'. s = 17.4 + -2.266666667a Simplifying s = 17.4 + -2.266666667a
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