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Simplifying 18 + -2a = 12 + -0.5a Solving 18 + -2a = 12 + -0.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.5a' to each side of the equation. 18 + -2a + 0.5a = 12 + -0.5a + 0.5a Combine like terms: -2a + 0.5a = -1.5a 18 + -1.5a = 12 + -0.5a + 0.5a Combine like terms: -0.5a + 0.5a = 0.0 18 + -1.5a = 12 + 0.0 18 + -1.5a = 12 Add '-18' to each side of the equation. 18 + -18 + -1.5a = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -1.5a = 12 + -18 -1.5a = 12 + -18 Combine like terms: 12 + -18 = -6 -1.5a = -6 Divide each side by '-1.5'. a = 4 Simplifying a = 4
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