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Simplifying 20 + -4(10a + -4) = -20(3a + 1) + -4 Reorder the terms: 20 + -4(-4 + 10a) = -20(3a + 1) + -4 20 + (-4 * -4 + 10a * -4) = -20(3a + 1) + -4 20 + (16 + -40a) = -20(3a + 1) + -4 Combine like terms: 20 + 16 = 36 36 + -40a = -20(3a + 1) + -4 Reorder the terms: 36 + -40a = -20(1 + 3a) + -4 36 + -40a = (1 * -20 + 3a * -20) + -4 36 + -40a = (-20 + -60a) + -4 Reorder the terms: 36 + -40a = -20 + -4 + -60a Combine like terms: -20 + -4 = -24 36 + -40a = -24 + -60a Solving 36 + -40a = -24 + -60a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '60a' to each side of the equation. 36 + -40a + 60a = -24 + -60a + 60a Combine like terms: -40a + 60a = 20a 36 + 20a = -24 + -60a + 60a Combine like terms: -60a + 60a = 0 36 + 20a = -24 + 0 36 + 20a = -24 Add '-36' to each side of the equation. 36 + -36 + 20a = -24 + -36 Combine like terms: 36 + -36 = 0 0 + 20a = -24 + -36 20a = -24 + -36 Combine like terms: -24 + -36 = -60 20a = -60 Divide each side by '20'. a = -3 Simplifying a = -3
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