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Simplifying -1.00 + -4.1a = 2.7(a + 9.2) Reorder the terms: -1.00 + -4.1a = 2.7(9.2 + a) -1.00 + -4.1a = (9.2 * 2.7 + a * 2.7) -1.00 + -4.1a = (24.84 + 2.7a) Solving -1.00 + -4.1a = 24.84 + 2.7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.7a' to each side of the equation. -1.00 + -4.1a + -2.7a = 24.84 + 2.7a + -2.7a Combine like terms: -4.1a + -2.7a = -6.8a -1.00 + -6.8a = 24.84 + 2.7a + -2.7a Combine like terms: 2.7a + -2.7a = 0.0 -1.00 + -6.8a = 24.84 + 0.0 -1.00 + -6.8a = 24.84 Add '1.00' to each side of the equation. -1.00 + 1.00 + -6.8a = 24.84 + 1.00 Combine like terms: -1.00 + 1.00 = 0.00 0.00 + -6.8a = 24.84 + 1.00 -6.8a = 24.84 + 1.00 Combine like terms: 24.84 + 1.00 = 25.84 -6.8a = 25.84 Divide each side by '-6.8'. a = -3.8 Simplifying a = -3.8
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