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Simplifying 0.375a + 7 = 0.75a + -8 Reorder the terms: 7 + 0.375a = 0.75a + -8 Reorder the terms: 7 + 0.375a = -8 + 0.75a Solving 7 + 0.375a = -8 + 0.75a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.75a' to each side of the equation. 7 + 0.375a + -0.75a = -8 + 0.75a + -0.75a Combine like terms: 0.375a + -0.75a = -0.375a 7 + -0.375a = -8 + 0.75a + -0.75a Combine like terms: 0.75a + -0.75a = 0.00 7 + -0.375a = -8 + 0.00 7 + -0.375a = -8 Add '-7' to each side of the equation. 7 + -7 + -0.375a = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -0.375a = -8 + -7 -0.375a = -8 + -7 Combine like terms: -8 + -7 = -15 -0.375a = -15 Divide each side by '-0.375'. a = 40 Simplifying a = 40
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