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Simplifying a + -5 = 1.5a + -6 Reorder the terms: -5 + a = 1.5a + -6 Reorder the terms: -5 + a = -6 + 1.5a Solving -5 + a = -6 + 1.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.5a' to each side of the equation. -5 + a + -1.5a = -6 + 1.5a + -1.5a Combine like terms: a + -1.5a = -0.5a -5 + -0.5a = -6 + 1.5a + -1.5a Combine like terms: 1.5a + -1.5a = 0.0 -5 + -0.5a = -6 + 0.0 -5 + -0.5a = -6 Add '5' to each side of the equation. -5 + 5 + -0.5a = -6 + 5 Combine like terms: -5 + 5 = 0 0 + -0.5a = -6 + 5 -0.5a = -6 + 5 Combine like terms: -6 + 5 = -1 -0.5a = -1 Divide each side by '-0.5'. a = 2 Simplifying a = 2
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