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Simplifying 0.3(6a + -4) = -0.10(2a + -8) Reorder the terms: 0.3(-4 + 6a) = -0.10(2a + -8) (-4 * 0.3 + 6a * 0.3) = -0.10(2a + -8) (-1.2 + 1.8a) = -0.10(2a + -8) Reorder the terms: -1.2 + 1.8a = -0.10(-8 + 2a) -1.2 + 1.8a = (-8 * -0.10 + 2a * -0.10) -1.2 + 1.8a = (0.8 + -0.2a) Solving -1.2 + 1.8a = 0.8 + -0.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.2a' to each side of the equation. -1.2 + 1.8a + 0.2a = 0.8 + -0.2a + 0.2a Combine like terms: 1.8a + 0.2a = 2a -1.2 + 2a = 0.8 + -0.2a + 0.2a Combine like terms: -0.2a + 0.2a = 0.0 -1.2 + 2a = 0.8 + 0.0 -1.2 + 2a = 0.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + 2a = 0.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 2a = 0.8 + 1.2 2a = 0.8 + 1.2 Combine like terms: 0.8 + 1.2 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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