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Simplifying 1.5a + -10 = 2.75a + -5 Reorder the terms: -10 + 1.5a = 2.75a + -5 Reorder the terms: -10 + 1.5a = -5 + 2.75a Solving -10 + 1.5a = -5 + 2.75a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.75a' to each side of the equation. -10 + 1.5a + -2.75a = -5 + 2.75a + -2.75a Combine like terms: 1.5a + -2.75a = -1.25a -10 + -1.25a = -5 + 2.75a + -2.75a Combine like terms: 2.75a + -2.75a = 0.00 -10 + -1.25a = -5 + 0.00 -10 + -1.25a = -5 Add '10' to each side of the equation. -10 + 10 + -1.25a = -5 + 10 Combine like terms: -10 + 10 = 0 0 + -1.25a = -5 + 10 -1.25a = -5 + 10 Combine like terms: -5 + 10 = 5 -1.25a = 5 Divide each side by '-1.25'. a = -4 Simplifying a = -4
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