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Simplifying 12(1 + -3a) = -8(1 + 2a) (1 * 12 + -3a * 12) = -8(1 + 2a) (12 + -36a) = -8(1 + 2a) 12 + -36a = (1 * -8 + 2a * -8) 12 + -36a = (-8 + -16a) Solving 12 + -36a = -8 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. 12 + -36a + 16a = -8 + -16a + 16a Combine like terms: -36a + 16a = -20a 12 + -20a = -8 + -16a + 16a Combine like terms: -16a + 16a = 0 12 + -20a = -8 + 0 12 + -20a = -8 Add '-12' to each side of the equation. 12 + -12 + -20a = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -20a = -8 + -12 -20a = -8 + -12 Combine like terms: -8 + -12 = -20 -20a = -20 Divide each side by '-20'. a = 1 Simplifying a = 1
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