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Simplifying 0.75(a + 5) = -0.5(a + -3) Reorder the terms: 0.75(5 + a) = -0.5(a + -3) (5 * 0.75 + a * 0.75) = -0.5(a + -3) (3.75 + 0.75a) = -0.5(a + -3) Reorder the terms: 3.75 + 0.75a = -0.5(-3 + a) 3.75 + 0.75a = (-3 * -0.5 + a * -0.5) 3.75 + 0.75a = (1.5 + -0.5a) Solving 3.75 + 0.75a = 1.5 + -0.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.5a' to each side of the equation. 3.75 + 0.75a + 0.5a = 1.5 + -0.5a + 0.5a Combine like terms: 0.75a + 0.5a = 1.25a 3.75 + 1.25a = 1.5 + -0.5a + 0.5a Combine like terms: -0.5a + 0.5a = 0.0 3.75 + 1.25a = 1.5 + 0.0 3.75 + 1.25a = 1.5 Add '-3.75' to each side of the equation. 3.75 + -3.75 + 1.25a = 1.5 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + 1.25a = 1.5 + -3.75 1.25a = 1.5 + -3.75 Combine like terms: 1.5 + -3.75 = -2.25 1.25a = -2.25 Divide each side by '1.25'. a = -1.8 Simplifying a = -1.8
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