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Simplifying 123 = -1a + 4(1 + -4a) 123 = -1a + (1 * 4 + -4a * 4) 123 = -1a + (4 + -16a) Reorder the terms: 123 = 4 + -1a + -16a Combine like terms: -1a + -16a = -17a 123 = 4 + -17a Solving 123 = 4 + -17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17a' to each side of the equation. 123 + 17a = 4 + -17a + 17a Combine like terms: -17a + 17a = 0 123 + 17a = 4 + 0 123 + 17a = 4 Add '-123' to each side of the equation. 123 + -123 + 17a = 4 + -123 Combine like terms: 123 + -123 = 0 0 + 17a = 4 + -123 17a = 4 + -123 Combine like terms: 4 + -123 = -119 17a = -119 Divide each side by '17'. a = -7 Simplifying a = -7
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