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Simplifying 20 + 1.50a = 14 + 2a Solving 20 + 1.50a = 14 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 20 + 1.50a + -2a = 14 + 2a + -2a Combine like terms: 1.50a + -2a = -0.5a 20 + -0.5a = 14 + 2a + -2a Combine like terms: 2a + -2a = 0 20 + -0.5a = 14 + 0 20 + -0.5a = 14 Add '-20' to each side of the equation. 20 + -20 + -0.5a = 14 + -20 Combine like terms: 20 + -20 = 0 0 + -0.5a = 14 + -20 -0.5a = 14 + -20 Combine like terms: 14 + -20 = -6 -0.5a = -6 Divide each side by '-0.5'. a = 12 Simplifying a = 12
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