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Simplifying 8.2a + -21 = 7.4a + -15.4 Reorder the terms: -21 + 8.2a = 7.4a + -15.4 Reorder the terms: -21 + 8.2a = -15.4 + 7.4a Solving -21 + 8.2a = -15.4 + 7.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7.4a' to each side of the equation. -21 + 8.2a + -7.4a = -15.4 + 7.4a + -7.4a Combine like terms: 8.2a + -7.4a = 0.8a -21 + 0.8a = -15.4 + 7.4a + -7.4a Combine like terms: 7.4a + -7.4a = 0.0 -21 + 0.8a = -15.4 + 0.0 -21 + 0.8a = -15.4 Add '21' to each side of the equation. -21 + 21 + 0.8a = -15.4 + 21 Combine like terms: -21 + 21 = 0 0 + 0.8a = -15.4 + 21 0.8a = -15.4 + 21 Combine like terms: -15.4 + 21 = 5.6 0.8a = 5.6 Divide each side by '0.8'. a = 7 Simplifying a = 7
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