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Simplifying 7a + -4 + 3a = 12a + -6 Reorder the terms: -4 + 7a + 3a = 12a + -6 Combine like terms: 7a + 3a = 10a -4 + 10a = 12a + -6 Reorder the terms: -4 + 10a = -6 + 12a Solving -4 + 10a = -6 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -4 + 10a + -12a = -6 + 12a + -12a Combine like terms: 10a + -12a = -2a -4 + -2a = -6 + 12a + -12a Combine like terms: 12a + -12a = 0 -4 + -2a = -6 + 0 -4 + -2a = -6 Add '4' to each side of the equation. -4 + 4 + -2a = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -2a = -6 + 4 -2a = -6 + 4 Combine like terms: -6 + 4 = -2 -2a = -2 Divide each side by '-2'. a = 1 Simplifying a = 1
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