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Simplifying 79 + -17a = 7(1 + -3a) 79 + -17a = (1 * 7 + -3a * 7) 79 + -17a = (7 + -21a) Solving 79 + -17a = 7 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. 79 + -17a + 21a = 7 + -21a + 21a Combine like terms: -17a + 21a = 4a 79 + 4a = 7 + -21a + 21a Combine like terms: -21a + 21a = 0 79 + 4a = 7 + 0 79 + 4a = 7 Add '-79' to each side of the equation. 79 + -79 + 4a = 7 + -79 Combine like terms: 79 + -79 = 0 0 + 4a = 7 + -79 4a = 7 + -79 Combine like terms: 7 + -79 = -72 4a = -72 Divide each side by '4'. a = -18 Simplifying a = -18
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