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Simplifying 2.65(a + -6.5) = a Reorder the terms: 2.65(-6.5 + a) = a (-6.5 * 2.65 + a * 2.65) = a (-17.225 + 2.65a) = a Solving -17.225 + 2.65a = 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. -17.225 + 2.65a + -1a = a + -1a Combine like terms: 2.65a + -1a = 1.65a -17.225 + 1.65a = a + -1a Combine like terms: a + -1a = 0 -17.225 + 1.65a = 0 Add '17.225' to each side of the equation. -17.225 + 17.225 + 1.65a = 0 + 17.225 Combine like terms: -17.225 + 17.225 = 0.000 0.000 + 1.65a = 0 + 17.225 1.65a = 0 + 17.225 Combine like terms: 0 + 17.225 = 17.225 1.65a = 17.225 Divide each side by '1.65'. a = 10.43939394 Simplifying a = 10.43939394
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