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Simplifying -0.3 + -0.5(a + 16) = 0.8(a + 15) Reorder the terms: -0.3 + -0.5(16 + a) = 0.8(a + 15) -0.3 + (16 * -0.5 + a * -0.5) = 0.8(a + 15) -0.3 + (-8 + -0.5a) = 0.8(a + 15) Combine like terms: -0.3 + -8 = -8.3 -8.3 + -0.5a = 0.8(a + 15) Reorder the terms: -8.3 + -0.5a = 0.8(15 + a) -8.3 + -0.5a = (15 * 0.8 + a * 0.8) -8.3 + -0.5a = (12 + 0.8a) Solving -8.3 + -0.5a = 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. -8.3 + -0.5a + -0.8a = 12 + 0.8a + -0.8a Combine like terms: -0.5a + -0.8a = -1.3a -8.3 + -1.3a = 12 + 0.8a + -0.8a Combine like terms: 0.8a + -0.8a = 0.0 -8.3 + -1.3a = 12 + 0.0 -8.3 + -1.3a = 12 Add '8.3' to each side of the equation. -8.3 + 8.3 + -1.3a = 12 + 8.3 Combine like terms: -8.3 + 8.3 = 0.0 0.0 + -1.3a = 12 + 8.3 -1.3a = 12 + 8.3 Combine like terms: 12 + 8.3 = 20.3 -1.3a = 20.3 Divide each side by '-1.3'. a = -15.61538462 Simplifying a = -15.61538462
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