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