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Simplifying -4(1 + 7a) + 5 = -8a + -39 (1 * -4 + 7a * -4) + 5 = -8a + -39 (-4 + -28a) + 5 = -8a + -39 Reorder the terms: -4 + 5 + -28a = -8a + -39 Combine like terms: -4 + 5 = 1 1 + -28a = -8a + -39 Reorder the terms: 1 + -28a = -39 + -8a Solving 1 + -28a = -39 + -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. 1 + -28a + 8a = -39 + -8a + 8a Combine like terms: -28a + 8a = -20a 1 + -20a = -39 + -8a + 8a Combine like terms: -8a + 8a = 0 1 + -20a = -39 + 0 1 + -20a = -39 Add '-1' to each side of the equation. 1 + -1 + -20a = -39 + -1 Combine like terms: 1 + -1 = 0 0 + -20a = -39 + -1 -20a = -39 + -1 Combine like terms: -39 + -1 = -40 -20a = -40 Divide each side by '-20'. a = 2 Simplifying a = 2
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