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Simplifying 2(s + 1.6) + -5(2 + -1a) = -1.9 Reorder the terms: 2(1.6 + s) + -5(2 + -1a) = -1.9 (1.6 * 2 + s * 2) + -5(2 + -1a) = -1.9 (3.2 + 2s) + -5(2 + -1a) = -1.9 3.2 + 2s + (2 * -5 + -1a * -5) = -1.9 3.2 + 2s + (-10 + 5a) = -1.9 Reorder the terms: 3.2 + -10 + 5a + 2s = -1.9 Combine like terms: 3.2 + -10 = -6.8 -6.8 + 5a + 2s = -1.9 Solving -6.8 + 5a + 2s = -1.9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6.8' to each side of the equation. -6.8 + 5a + 6.8 + 2s = -1.9 + 6.8 Reorder the terms: -6.8 + 6.8 + 5a + 2s = -1.9 + 6.8 Combine like terms: -6.8 + 6.8 = 0.0 0.0 + 5a + 2s = -1.9 + 6.8 5a + 2s = -1.9 + 6.8 Combine like terms: -1.9 + 6.8 = 4.9 5a + 2s = 4.9 Add '-2s' to each side of the equation. 5a + 2s + -2s = 4.9 + -2s Combine like terms: 2s + -2s = 0 5a + 0 = 4.9 + -2s 5a = 4.9 + -2s Divide each side by '5'. a = 0.98 + -0.4s Simplifying a = 0.98 + -0.4s
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