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Simplifying -0.4 = a + (-1.3) -0.4 = a + -1.3 Reorder the terms: -0.4 = -1.3 + a Solving -0.4 = -1.3 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -0.4 + -1a = -1.3 + a + -1a Combine like terms: a + -1a = 0 -0.4 + -1a = -1.3 + 0 -0.4 + -1a = -1.3 Add '0.4' to each side of the equation. -0.4 + 0.4 + -1a = -1.3 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -1a = -1.3 + 0.4 -1a = -1.3 + 0.4 Combine like terms: -1.3 + 0.4 = -0.9 -1a = -0.9 Divide each side by '-1'. a = 0.9 Simplifying a = 0.9
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