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Simplifying 5 = 0.5(4a + -16) Reorder the terms: 5 = 0.5(-16 + 4a) 5 = (-16 * 0.5 + 4a * 0.5) 5 = (-8 + 2a) Solving 5 = -8 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 5 + -2a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 5 + -2a = -8 + 0 5 + -2a = -8 Add '-5' to each side of the equation. 5 + -5 + -2a = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = -8 + -5 -2a = -8 + -5 Combine like terms: -8 + -5 = -13 -2a = -13 Divide each side by '-2'. a = 6.5 Simplifying a = 6.5
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