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Simplifying 8a + -39 = -1a + -4(1 + -4a) Reorder the terms: -39 + 8a = -1a + -4(1 + -4a) -39 + 8a = -1a + (1 * -4 + -4a * -4) -39 + 8a = -1a + (-4 + 16a) Reorder the terms: -39 + 8a = -4 + -1a + 16a Combine like terms: -1a + 16a = 15a -39 + 8a = -4 + 15a Solving -39 + 8a = -4 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -39 + 8a + -15a = -4 + 15a + -15a Combine like terms: 8a + -15a = -7a -39 + -7a = -4 + 15a + -15a Combine like terms: 15a + -15a = 0 -39 + -7a = -4 + 0 -39 + -7a = -4 Add '39' to each side of the equation. -39 + 39 + -7a = -4 + 39 Combine like terms: -39 + 39 = 0 0 + -7a = -4 + 39 -7a = -4 + 39 Combine like terms: -4 + 39 = 35 -7a = 35 Divide each side by '-7'. a = -5 Simplifying a = -5
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