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Simplifying 23.5a + 12.5 = 5.2(9.3a + -4.8) Reorder the terms: 12.5 + 23.5a = 5.2(9.3a + -4.8) Reorder the terms: 12.5 + 23.5a = 5.2(-4.8 + 9.3a) 12.5 + 23.5a = (-4.8 * 5.2 + 9.3a * 5.2) 12.5 + 23.5a = (-24.96 + 48.36a) Solving 12.5 + 23.5a = -24.96 + 48.36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48.36a' to each side of the equation. 12.5 + 23.5a + -48.36a = -24.96 + 48.36a + -48.36a Combine like terms: 23.5a + -48.36a = -24.86a 12.5 + -24.86a = -24.96 + 48.36a + -48.36a Combine like terms: 48.36a + -48.36a = 0.00 12.5 + -24.86a = -24.96 + 0.00 12.5 + -24.86a = -24.96 Add '-12.5' to each side of the equation. 12.5 + -12.5 + -24.86a = -24.96 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -24.86a = -24.96 + -12.5 -24.86a = -24.96 + -12.5 Combine like terms: -24.96 + -12.5 = -37.46 -24.86a = -37.46 Divide each side by '-24.86'. a = 1.506838294 Simplifying a = 1.506838294
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