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Simplifying 12 + -7a = -5(6 + -7a) 12 + -7a = (6 * -5 + -7a * -5) 12 + -7a = (-30 + 35a) Solving 12 + -7a = -30 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. 12 + -7a + -35a = -30 + 35a + -35a Combine like terms: -7a + -35a = -42a 12 + -42a = -30 + 35a + -35a Combine like terms: 35a + -35a = 0 12 + -42a = -30 + 0 12 + -42a = -30 Add '-12' to each side of the equation. 12 + -12 + -42a = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -42a = -30 + -12 -42a = -30 + -12 Combine like terms: -30 + -12 = -42 -42a = -42 Divide each side by '-42'. a = 1 Simplifying a = 1
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