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Simplifying -5 = 5.6a + 1.6(-3a + -4) Reorder the terms: -5 = 5.6a + 1.6(-4 + -3a) -5 = 5.6a + (-4 * 1.6 + -3a * 1.6) -5 = 5.6a + (-6.4 + -4.8a) Reorder the terms: -5 = -6.4 + 5.6a + -4.8a Combine like terms: 5.6a + -4.8a = 0.8a -5 = -6.4 + 0.8a Solving -5 = -6.4 + 0.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.8a' to each side of the equation. -5 + -0.8a = -6.4 + 0.8a + -0.8a Combine like terms: 0.8a + -0.8a = 0.0 -5 + -0.8a = -6.4 + 0.0 -5 + -0.8a = -6.4 Add '5' to each side of the equation. -5 + 5 + -0.8a = -6.4 + 5 Combine like terms: -5 + 5 = 0 0 + -0.8a = -6.4 + 5 -0.8a = -6.4 + 5 Combine like terms: -6.4 + 5 = -1.4 -0.8a = -1.4 Divide each side by '-0.8'. a = 1.75 Simplifying a = 1.75
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