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Simplifying 0.5a + -3 = 0.3(2a + -3) Reorder the terms: -3 + 0.5a = 0.3(2a + -3) Reorder the terms: -3 + 0.5a = 0.3(-3 + 2a) -3 + 0.5a = (-3 * 0.3 + 2a * 0.3) -3 + 0.5a = (-0.9 + 0.6a) Solving -3 + 0.5a = -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. -3 + 0.5a + -0.6a = -0.9 + 0.6a + -0.6a Combine like terms: 0.5a + -0.6a = -0.1a -3 + -0.1a = -0.9 + 0.6a + -0.6a Combine like terms: 0.6a + -0.6a = 0.0 -3 + -0.1a = -0.9 + 0.0 -3 + -0.1a = -0.9 Add '3' to each side of the equation. -3 + 3 + -0.1a = -0.9 + 3 Combine like terms: -3 + 3 = 0 0 + -0.1a = -0.9 + 3 -0.1a = -0.9 + 3 Combine like terms: -0.9 + 3 = 2.1 -0.1a = 2.1 Divide each side by '-0.1'. a = -21 Simplifying a = -21
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