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