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Simplifying -0.3a + -0.5(a + 16) = 0.8(a + 15) Reorder the terms: -0.3a + -0.5(16 + a) = 0.8(a + 15) -0.3a + (16 * -0.5 + a * -0.5) = 0.8(a + 15) -0.3a + (-8 + -0.5a) = 0.8(a + 15) Reorder the terms: -8 + -0.3a + -0.5a = 0.8(a + 15) Combine like terms: -0.3a + -0.5a = -0.8a -8 + -0.8a = 0.8(a + 15) Reorder the terms: -8 + -0.8a = 0.8(15 + a) -8 + -0.8a = (15 * 0.8 + a * 0.8) -8 + -0.8a = (12 + 0.8a) Solving -8 + -0.8a = 12 + 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. -8 + -0.8a + -0.8a = 12 + 0.8a + -0.8a Combine like terms: -0.8a + -0.8a = -1.6a -8 + -1.6a = 12 + 0.8a + -0.8a Combine like terms: 0.8a + -0.8a = 0.0 -8 + -1.6a = 12 + 0.0 -8 + -1.6a = 12 Add '8' to each side of the equation. -8 + 8 + -1.6a = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -1.6a = 12 + 8 -1.6a = 12 + 8 Combine like terms: 12 + 8 = 20 -1.6a = 20 Divide each side by '-1.6'. a = -12.5 Simplifying a = -12.5
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