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Simplifying 7(1 + -4a) + -5a = -158 (1 * 7 + -4a * 7) + -5a = -158 (7 + -28a) + -5a = -158 Combine like terms: -28a + -5a = -33a 7 + -33a = -158 Solving 7 + -33a = -158 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -33a = -158 + -7 Combine like terms: 7 + -7 = 0 0 + -33a = -158 + -7 -33a = -158 + -7 Combine like terms: -158 + -7 = -165 -33a = -165 Divide each side by '-33'. a = 5 Simplifying a = 5
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