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Simplifying 10.6375 = 5.75(a + 1.2) Reorder the terms: 10.6375 = 5.75(1.2 + a) 10.6375 = (1.2 * 5.75 + a * 5.75) 10.6375 = (6.9 + 5.75a) Solving 10.6375 = 6.9 + 5.75a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5.75a' to each side of the equation. 10.6375 + -5.75a = 6.9 + 5.75a + -5.75a Combine like terms: 5.75a + -5.75a = 0.00 10.6375 + -5.75a = 6.9 + 0.00 10.6375 + -5.75a = 6.9 Add '-10.6375' to each side of the equation. 10.6375 + -10.6375 + -5.75a = 6.9 + -10.6375 Combine like terms: 10.6375 + -10.6375 = 0.0000 0.0000 + -5.75a = 6.9 + -10.6375 -5.75a = 6.9 + -10.6375 Combine like terms: 6.9 + -10.6375 = -3.7375 -5.75a = -3.7375 Divide each side by '-5.75'. a = 0.65 Simplifying a = 0.65
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