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Simplifying 0.75a + 7 = a + -1 Reorder the terms: 7 + 0.75a = a + -1 Reorder the terms: 7 + 0.75a = -1 + a Solving 7 + 0.75a = -1 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 7 + 0.75a + -1a = -1 + a + -1a Combine like terms: 0.75a + -1a = -0.25a 7 + -0.25a = -1 + a + -1a Combine like terms: a + -1a = 0 7 + -0.25a = -1 + 0 7 + -0.25a = -1 Add '-7' to each side of the equation. 7 + -7 + -0.25a = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -0.25a = -1 + -7 -0.25a = -1 + -7 Combine like terms: -1 + -7 = -8 -0.25a = -8 Divide each side by '-0.25'. a = 32 Simplifying a = 32
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