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Simplifying 4a + -7 = 6a + 12 Reorder the terms: -7 + 4a = 6a + 12 Reorder the terms: -7 + 4a = 12 + 6a Solving -7 + 4a = 12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -7 + 4a + -6a = 12 + 6a + -6a Combine like terms: 4a + -6a = -2a -7 + -2a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 -7 + -2a = 12 + 0 -7 + -2a = 12 Add '7' to each side of the equation. -7 + 7 + -2a = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -2a = 12 + 7 -2a = 12 + 7 Combine like terms: 12 + 7 = 19 -2a = 19 Divide each side by '-2'. a = -9.5 Simplifying a = -9.5
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