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Simplifying 2 + -3a + 8a + -12 = 7a + 4 * 4 Reorder the terms: 2 + -12 + -3a + 8a = 7a + 4 * 4 Combine like terms: 2 + -12 = -10 -10 + -3a + 8a = 7a + 4 * 4 Combine like terms: -3a + 8a = 5a -10 + 5a = 7a + 4 * 4 Multiply 4 * 4 -10 + 5a = 7a + 16 Reorder the terms: -10 + 5a = 16 + 7a Solving -10 + 5a = 16 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -10 + 5a + -7a = 16 + 7a + -7a Combine like terms: 5a + -7a = -2a -10 + -2a = 16 + 7a + -7a Combine like terms: 7a + -7a = 0 -10 + -2a = 16 + 0 -10 + -2a = 16 Add '10' to each side of the equation. -10 + 10 + -2a = 16 + 10 Combine like terms: -10 + 10 = 0 0 + -2a = 16 + 10 -2a = 16 + 10 Combine like terms: 16 + 10 = 26 -2a = 26 Divide each side by '-2'. a = -13 Simplifying a = -13
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