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Simplifying 5(a + 0.5) = 2.5(a + -1) Reorder the terms: 5(0.5 + a) = 2.5(a + -1) (0.5 * 5 + a * 5) = 2.5(a + -1) (2.5 + 5a) = 2.5(a + -1) Reorder the terms: 2.5 + 5a = 2.5(-1 + a) 2.5 + 5a = (-1 * 2.5 + a * 2.5) 2.5 + 5a = (-2.5 + 2.5a) Solving 2.5 + 5a = -2.5 + 2.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.5a' to each side of the equation. 2.5 + 5a + -2.5a = -2.5 + 2.5a + -2.5a Combine like terms: 5a + -2.5a = 2.5a 2.5 + 2.5a = -2.5 + 2.5a + -2.5a Combine like terms: 2.5a + -2.5a = 0.0 2.5 + 2.5a = -2.5 + 0.0 2.5 + 2.5a = -2.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 2.5a = -2.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 2.5a = -2.5 + -2.5 2.5a = -2.5 + -2.5 Combine like terms: -2.5 + -2.5 = -5 2.5a = -5 Divide each side by '2.5'. a = -2 Simplifying a = -2
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