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Simplifying 5a + -7a + -12 = -4a + -3 + 7 + -2a Reorder the terms: -12 + 5a + -7a = -4a + -3 + 7 + -2a Combine like terms: 5a + -7a = -2a -12 + -2a = -4a + -3 + 7 + -2a Reorder the terms: -12 + -2a = -3 + 7 + -4a + -2a Combine like terms: -3 + 7 = 4 -12 + -2a = 4 + -4a + -2a Combine like terms: -4a + -2a = -6a -12 + -2a = 4 + -6a Solving -12 + -2a = 4 + -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. -12 + -2a + 6a = 4 + -6a + 6a Combine like terms: -2a + 6a = 4a -12 + 4a = 4 + -6a + 6a Combine like terms: -6a + 6a = 0 -12 + 4a = 4 + 0 -12 + 4a = 4 Add '12' to each side of the equation. -12 + 12 + 4a = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 4a = 4 + 12 4a = 4 + 12 Combine like terms: 4 + 12 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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