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Simplifying 0.7(5a + -1.2) = 2a + -0.39 Reorder the terms: 0.7(-1.2 + 5a) = 2a + -0.39 (-1.2 * 0.7 + 5a * 0.7) = 2a + -0.39 (-0.84 + 3.5a) = 2a + -0.39 Reorder the terms: -0.84 + 3.5a = -0.39 + 2a Solving -0.84 + 3.5a = -0.39 + 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. -0.84 + 3.5a + -2a = -0.39 + 2a + -2a Combine like terms: 3.5a + -2a = 1.5a -0.84 + 1.5a = -0.39 + 2a + -2a Combine like terms: 2a + -2a = 0 -0.84 + 1.5a = -0.39 + 0 -0.84 + 1.5a = -0.39 Add '0.84' to each side of the equation. -0.84 + 0.84 + 1.5a = -0.39 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + 1.5a = -0.39 + 0.84 1.5a = -0.39 + 0.84 Combine like terms: -0.39 + 0.84 = 0.45 1.5a = 0.45 Divide each side by '1.5'. a = 0.3 Simplifying a = 0.3
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