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Simplifying 7(6 + -29) = 5(-3a + 1) Combine like terms: 6 + -29 = -23 7(-23) = 5(-3a + 1) Multiply 7 * -23 -161 = 5(-3a + 1) Reorder the terms: -161 = 5(1 + -3a) -161 = (1 * 5 + -3a * 5) -161 = (5 + -15a) Solving -161 = 5 + -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. -161 + 15a = 5 + -15a + 15a Combine like terms: -15a + 15a = 0 -161 + 15a = 5 + 0 -161 + 15a = 5 Add '161' to each side of the equation. -161 + 161 + 15a = 5 + 161 Combine like terms: -161 + 161 = 0 0 + 15a = 5 + 161 15a = 5 + 161 Combine like terms: 5 + 161 = 166 15a = 166 Divide each side by '15'. a = 11.06666667 Simplifying a = 11.06666667
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