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Simplifying 1.5(a + 16) = a + 18 Reorder the terms: 1.5(16 + a) = a + 18 (16 * 1.5 + a * 1.5) = a + 18 (24 + 1.5a) = a + 18 Reorder the terms: 24 + 1.5a = 18 + a Solving 24 + 1.5a = 18 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 24 + 1.5a + -1a = 18 + a + -1a Combine like terms: 1.5a + -1a = 0.5a 24 + 0.5a = 18 + a + -1a Combine like terms: a + -1a = 0 24 + 0.5a = 18 + 0 24 + 0.5a = 18 Add '-24' to each side of the equation. 24 + -24 + 0.5a = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 0.5a = 18 + -24 0.5a = 18 + -24 Combine like terms: 18 + -24 = -6 0.5a = -6 Divide each side by '0.5'. a = -12 Simplifying a = -12
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