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Simplifying 12 + -2a = 8(a + 4) Reorder the terms: 12 + -2a = 8(4 + a) 12 + -2a = (4 * 8 + a * 8) 12 + -2a = (32 + 8a) Solving 12 + -2a = 32 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 12 + -2a + -8a = 32 + 8a + -8a Combine like terms: -2a + -8a = -10a 12 + -10a = 32 + 8a + -8a Combine like terms: 8a + -8a = 0 12 + -10a = 32 + 0 12 + -10a = 32 Add '-12' to each side of the equation. 12 + -12 + -10a = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -10a = 32 + -12 -10a = 32 + -12 Combine like terms: 32 + -12 = 20 -10a = 20 Divide each side by '-10'. a = -2 Simplifying a = -2
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