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Simplifying -16.81 + -1.9a = 5.4(a + 2.7) Reorder the terms: -16.81 + -1.9a = 5.4(2.7 + a) -16.81 + -1.9a = (2.7 * 5.4 + a * 5.4) -16.81 + -1.9a = (14.58 + 5.4a) Solving -16.81 + -1.9a = 14.58 + 5.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5.4a' to each side of the equation. -16.81 + -1.9a + -5.4a = 14.58 + 5.4a + -5.4a Combine like terms: -1.9a + -5.4a = -7.3a -16.81 + -7.3a = 14.58 + 5.4a + -5.4a Combine like terms: 5.4a + -5.4a = 0.0 -16.81 + -7.3a = 14.58 + 0.0 -16.81 + -7.3a = 14.58 Add '16.81' to each side of the equation. -16.81 + 16.81 + -7.3a = 14.58 + 16.81 Combine like terms: -16.81 + 16.81 = 0.00 0.00 + -7.3a = 14.58 + 16.81 -7.3a = 14.58 + 16.81 Combine like terms: 14.58 + 16.81 = 31.39 -7.3a = 31.39 Divide each side by '-7.3'. a = -4.3 Simplifying a = -4.3
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