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Simplifying -4a + 7 = 2a + -1 Reorder the terms: 7 + -4a = 2a + -1 Reorder the terms: 7 + -4a = -1 + 2a Solving 7 + -4a = -1 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 7 + -4a + -2a = -1 + 2a + -2a Combine like terms: -4a + -2a = -6a 7 + -6a = -1 + 2a + -2a Combine like terms: 2a + -2a = 0 7 + -6a = -1 + 0 7 + -6a = -1 Add '-7' to each side of the equation. 7 + -7 + -6a = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -6a = -1 + -7 -6a = -1 + -7 Combine like terms: -1 + -7 = -8 -6a = -8 Divide each side by '-6'. a = 1.333333333 Simplifying a = 1.333333333
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