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Simplifying -4(a + 2.5) + -5(1.2a + -4) = 0 Reorder the terms: -4(2.5 + a) + -5(1.2a + -4) = 0 (2.5 * -4 + a * -4) + -5(1.2a + -4) = 0 (-10 + -4a) + -5(1.2a + -4) = 0 Reorder the terms: -10 + -4a + -5(-4 + 1.2a) = 0 -10 + -4a + (-4 * -5 + 1.2a * -5) = 0 -10 + -4a + (20 + -6a) = 0 Reorder the terms: -10 + 20 + -4a + -6a = 0 Combine like terms: -10 + 20 = 10 10 + -4a + -6a = 0 Combine like terms: -4a + -6a = -10a 10 + -10a = 0 Solving 10 + -10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -10a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -10a = 0 + -10 -10a = 0 + -10 Combine like terms: 0 + -10 = -10 -10a = -10 Divide each side by '-10'. a = 1 Simplifying a = 1
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