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Simplifying 2.3 + -6.3a = a + -1(7.7a + -1.9) Reorder the terms: 2.3 + -6.3a = a + -1(-1.9 + 7.7a) 2.3 + -6.3a = a + (-1.9 * -1 + 7.7a * -1) 2.3 + -6.3a = a + (1.9 + -7.7a) Reorder the terms: 2.3 + -6.3a = 1.9 + a + -7.7a Combine like terms: a + -7.7a = -6.7a 2.3 + -6.3a = 1.9 + -6.7a Solving 2.3 + -6.3a = 1.9 + -6.7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6.7a' to each side of the equation. 2.3 + -6.3a + 6.7a = 1.9 + -6.7a + 6.7a Combine like terms: -6.3a + 6.7a = 0.4a 2.3 + 0.4a = 1.9 + -6.7a + 6.7a Combine like terms: -6.7a + 6.7a = 0.0 2.3 + 0.4a = 1.9 + 0.0 2.3 + 0.4a = 1.9 Add '-2.3' to each side of the equation. 2.3 + -2.3 + 0.4a = 1.9 + -2.3 Combine like terms: 2.3 + -2.3 = 0.0 0.0 + 0.4a = 1.9 + -2.3 0.4a = 1.9 + -2.3 Combine like terms: 1.9 + -2.3 = -0.4 0.4a = -0.4 Divide each side by '0.4'. a = -1 Simplifying a = -1
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