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Simplifying 0.3(a + 19) = 2.8(a + -3) Reorder the terms: 0.3(19 + a) = 2.8(a + -3) (19 * 0.3 + a * 0.3) = 2.8(a + -3) (5.7 + 0.3a) = 2.8(a + -3) Reorder the terms: 5.7 + 0.3a = 2.8(-3 + a) 5.7 + 0.3a = (-3 * 2.8 + a * 2.8) 5.7 + 0.3a = (-8.4 + 2.8a) Solving 5.7 + 0.3a = -8.4 + 2.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.8a' to each side of the equation. 5.7 + 0.3a + -2.8a = -8.4 + 2.8a + -2.8a Combine like terms: 0.3a + -2.8a = -2.5a 5.7 + -2.5a = -8.4 + 2.8a + -2.8a Combine like terms: 2.8a + -2.8a = 0.0 5.7 + -2.5a = -8.4 + 0.0 5.7 + -2.5a = -8.4 Add '-5.7' to each side of the equation. 5.7 + -5.7 + -2.5a = -8.4 + -5.7 Combine like terms: 5.7 + -5.7 = 0.0 0.0 + -2.5a = -8.4 + -5.7 -2.5a = -8.4 + -5.7 Combine like terms: -8.4 + -5.7 = -14.1 -2.5a = -14.1 Divide each side by '-2.5'. a = 5.64 Simplifying a = 5.64
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