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Simplifying 0.4(a + -2) = 3(a + 4) Reorder the terms: 0.4(-2 + a) = 3(a + 4) (-2 * 0.4 + a * 0.4) = 3(a + 4) (-0.8 + 0.4a) = 3(a + 4) Reorder the terms: -0.8 + 0.4a = 3(4 + a) -0.8 + 0.4a = (4 * 3 + a * 3) -0.8 + 0.4a = (12 + 3a) Solving -0.8 + 0.4a = 12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -0.8 + 0.4a + -3a = 12 + 3a + -3a Combine like terms: 0.4a + -3a = -2.6a -0.8 + -2.6a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 -0.8 + -2.6a = 12 + 0 -0.8 + -2.6a = 12 Add '0.8' to each side of the equation. -0.8 + 0.8 + -2.6a = 12 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -2.6a = 12 + 0.8 -2.6a = 12 + 0.8 Combine like terms: 12 + 0.8 = 12.8 -2.6a = 12.8 Divide each side by '-2.6'. a = -4.923076923 Simplifying a = -4.923076923
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