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Simplifying 0.50 + -3 = 0.3(2a + 3) Combine like terms: 0.50 + -3 = -2.5 -2.5 = 0.3(2a + 3) Reorder the terms: -2.5 = 0.3(3 + 2a) -2.5 = (3 * 0.3 + 2a * 0.3) -2.5 = (0.9 + 0.6a) Solving -2.5 = 0.9 + 0.6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.6a' to each side of the equation. -2.5 + -0.6a = 0.9 + 0.6a + -0.6a Combine like terms: 0.6a + -0.6a = 0.0 -2.5 + -0.6a = 0.9 + 0.0 -2.5 + -0.6a = 0.9 Add '2.5' to each side of the equation. -2.5 + 2.5 + -0.6a = 0.9 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -0.6a = 0.9 + 2.5 -0.6a = 0.9 + 2.5 Combine like terms: 0.9 + 2.5 = 3.4 -0.6a = 3.4 Divide each side by '-0.6'. a = -5.666666667 Simplifying a = -5.666666667
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