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Simplifying 2a + 4a = -2(10 + -2a) + -4(1 + -2a) Combine like terms: 2a + 4a = 6a 6a = -2(10 + -2a) + -4(1 + -2a) 6a = (10 * -2 + -2a * -2) + -4(1 + -2a) 6a = (-20 + 4a) + -4(1 + -2a) 6a = -20 + 4a + (1 * -4 + -2a * -4) 6a = -20 + 4a + (-4 + 8a) Reorder the terms: 6a = -20 + -4 + 4a + 8a Combine like terms: -20 + -4 = -24 6a = -24 + 4a + 8a Combine like terms: 4a + 8a = 12a 6a = -24 + 12a Solving 6a = -24 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 6a + -12a = -24 + 12a + -12a Combine like terms: 6a + -12a = -6a -6a = -24 + 12a + -12a Combine like terms: 12a + -12a = 0 -6a = -24 + 0 -6a = -24 Divide each side by '-6'. a = 4 Simplifying a = 4
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