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Simplifying -0.8(a + 3) = 1.2(a + 15) Reorder the terms: -0.8(3 + a) = 1.2(a + 15) (3 * -0.8 + a * -0.8) = 1.2(a + 15) (-2.4 + -0.8a) = 1.2(a + 15) Reorder the terms: -2.4 + -0.8a = 1.2(15 + a) -2.4 + -0.8a = (15 * 1.2 + a * 1.2) -2.4 + -0.8a = (18 + 1.2a) Solving -2.4 + -0.8a = 18 + 1.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.2a' to each side of the equation. -2.4 + -0.8a + -1.2a = 18 + 1.2a + -1.2a Combine like terms: -0.8a + -1.2a = -2a -2.4 + -2a = 18 + 1.2a + -1.2a Combine like terms: 1.2a + -1.2a = 0.0 -2.4 + -2a = 18 + 0.0 -2.4 + -2a = 18 Add '2.4' to each side of the equation. -2.4 + 2.4 + -2a = 18 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -2a = 18 + 2.4 -2a = 18 + 2.4 Combine like terms: 18 + 2.4 = 20.4 -2a = 20.4 Divide each side by '-2'. a = -10.2 Simplifying a = -10.2
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