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Simplifying 4a + -8 + -7(5(a + -5)) = 16(5a + 15) Reorder the terms: 4a + -8 + -7(5(-5 + a)) = 16(5a + 15) 4a + -8 + -7((-5 * 5 + a * 5)) = 16(5a + 15) 4a + -8 + -7((-25 + 5a)) = 16(5a + 15) 4a + -8 + (-25 * -7 + 5a * -7) = 16(5a + 15) 4a + -8 + (175 + -35a) = 16(5a + 15) Reorder the terms: -8 + 175 + 4a + -35a = 16(5a + 15) Combine like terms: -8 + 175 = 167 167 + 4a + -35a = 16(5a + 15) Combine like terms: 4a + -35a = -31a 167 + -31a = 16(5a + 15) Reorder the terms: 167 + -31a = 16(15 + 5a) 167 + -31a = (15 * 16 + 5a * 16) 167 + -31a = (240 + 80a) Solving 167 + -31a = 240 + 80a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-80a' to each side of the equation. 167 + -31a + -80a = 240 + 80a + -80a Combine like terms: -31a + -80a = -111a 167 + -111a = 240 + 80a + -80a Combine like terms: 80a + -80a = 0 167 + -111a = 240 + 0 167 + -111a = 240 Add '-167' to each side of the equation. 167 + -167 + -111a = 240 + -167 Combine like terms: 167 + -167 = 0 0 + -111a = 240 + -167 -111a = 240 + -167 Combine like terms: 240 + -167 = 73 -111a = 73 Divide each side by '-111'. a = -0.6576576577 Simplifying a = -0.6576576577
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