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Simplifying 4(-7a + 1) + -2a = -20 + -6a Reorder the terms: 4(1 + -7a) + -2a = -20 + -6a (1 * 4 + -7a * 4) + -2a = -20 + -6a (4 + -28a) + -2a = -20 + -6a Combine like terms: -28a + -2a = -30a 4 + -30a = -20 + -6a Solving 4 + -30a = -20 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 4 + -30a + 6a = -20 + -6a + 6a Combine like terms: -30a + 6a = -24a 4 + -24a = -20 + -6a + 6a Combine like terms: -6a + 6a = 0 4 + -24a = -20 + 0 4 + -24a = -20 Add '-4' to each side of the equation. 4 + -4 + -24a = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -24a = -20 + -4 -24a = -20 + -4 Combine like terms: -20 + -4 = -24 -24a = -24 Divide each side by '-24'. a = 1 Simplifying a = 1
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