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Simplifying 1.5a + 12 = 2(1.1a + -1) Reorder the terms: 12 + 1.5a = 2(1.1a + -1) Reorder the terms: 12 + 1.5a = 2(-1 + 1.1a) 12 + 1.5a = (-1 * 2 + 1.1a * 2) 12 + 1.5a = (-2 + 2.2a) Solving 12 + 1.5a = -2 + 2.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.2a' to each side of the equation. 12 + 1.5a + -2.2a = -2 + 2.2a + -2.2a Combine like terms: 1.5a + -2.2a = -0.7a 12 + -0.7a = -2 + 2.2a + -2.2a Combine like terms: 2.2a + -2.2a = 0.0 12 + -0.7a = -2 + 0.0 12 + -0.7a = -2 Add '-12' to each side of the equation. 12 + -12 + -0.7a = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -0.7a = -2 + -12 -0.7a = -2 + -12 Combine like terms: -2 + -12 = -14 -0.7a = -14 Divide each side by '-0.7'. a = 20 Simplifying a = 20
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