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Simplifying (2a + -19.2) + (a + -1.4) + (a + 1.8) + 19.5 = 360 Reorder the terms: (-19.2 + 2a) + (a + -1.4) + (a + 1.8) + 19.5 = 360 Remove parenthesis around (-19.2 + 2a) -19.2 + 2a + (a + -1.4) + (a + 1.8) + 19.5 = 360 Reorder the terms: -19.2 + 2a + (-1.4 + a) + (a + 1.8) + 19.5 = 360 Remove parenthesis around (-1.4 + a) -19.2 + 2a + -1.4 + a + (a + 1.8) + 19.5 = 360 Reorder the terms: -19.2 + 2a + -1.4 + a + (1.8 + a) + 19.5 = 360 Remove parenthesis around (1.8 + a) -19.2 + 2a + -1.4 + a + 1.8 + a + 19.5 = 360 Reorder the terms: -19.2 + -1.4 + 1.8 + 19.5 + 2a + a + a = 360 Combine like terms: -19.2 + -1.4 = -20.6 -20.6 + 1.8 + 19.5 + 2a + a + a = 360 Combine like terms: -20.6 + 1.8 = -18.8 -18.8 + 19.5 + 2a + a + a = 360 Combine like terms: -18.8 + 19.5 = 0.7 0.7 + 2a + a + a = 360 Combine like terms: 2a + a = 3a 0.7 + 3a + a = 360 Combine like terms: 3a + a = 4a 0.7 + 4a = 360 Solving 0.7 + 4a = 360 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 4a = 360 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 4a = 360 + -0.7 4a = 360 + -0.7 Combine like terms: 360 + -0.7 = 359.3 4a = 359.3 Divide each side by '4'. a = 89.825 Simplifying a = 89.825
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