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Simplifying -1.2(a + 17) = -2.7(a + -1) Reorder the terms: -1.2(17 + a) = -2.7(a + -1) (17 * -1.2 + a * -1.2) = -2.7(a + -1) (-20.4 + -1.2a) = -2.7(a + -1) Reorder the terms: -20.4 + -1.2a = -2.7(-1 + a) -20.4 + -1.2a = (-1 * -2.7 + a * -2.7) -20.4 + -1.2a = (2.7 + -2.7a) Solving -20.4 + -1.2a = 2.7 + -2.7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2.7a' to each side of the equation. -20.4 + -1.2a + 2.7a = 2.7 + -2.7a + 2.7a Combine like terms: -1.2a + 2.7a = 1.5a -20.4 + 1.5a = 2.7 + -2.7a + 2.7a Combine like terms: -2.7a + 2.7a = 0.0 -20.4 + 1.5a = 2.7 + 0.0 -20.4 + 1.5a = 2.7 Add '20.4' to each side of the equation. -20.4 + 20.4 + 1.5a = 2.7 + 20.4 Combine like terms: -20.4 + 20.4 = 0.0 0.0 + 1.5a = 2.7 + 20.4 1.5a = 2.7 + 20.4 Combine like terms: 2.7 + 20.4 = 23.1 1.5a = 23.1 Divide each side by '1.5'. a = 15.4 Simplifying a = 15.4
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