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Simplifying -2.4(a + 0.3) = -1.2(a + 1.1) Reorder the terms: -2.4(0.3 + a) = -1.2(a + 1.1) (0.3 * -2.4 + a * -2.4) = -1.2(a + 1.1) (-0.72 + -2.4a) = -1.2(a + 1.1) Reorder the terms: -0.72 + -2.4a = -1.2(1.1 + a) -0.72 + -2.4a = (1.1 * -1.2 + a * -1.2) -0.72 + -2.4a = (-1.32 + -1.2a) Solving -0.72 + -2.4a = -1.32 + -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. -0.72 + -2.4a + 1.2a = -1.32 + -1.2a + 1.2a Combine like terms: -2.4a + 1.2a = -1.2a -0.72 + -1.2a = -1.32 + -1.2a + 1.2a Combine like terms: -1.2a + 1.2a = 0.0 -0.72 + -1.2a = -1.32 + 0.0 -0.72 + -1.2a = -1.32 Add '0.72' to each side of the equation. -0.72 + 0.72 + -1.2a = -1.32 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + -1.2a = -1.32 + 0.72 -1.2a = -1.32 + 0.72 Combine like terms: -1.32 + 0.72 = -0.6 -1.2a = -0.6 Divide each side by '-1.2'. a = 0.5 Simplifying a = 0.5
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