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Simplifying 7(6 + -28) = 5(-3a + 1) Combine like terms: 6 + -28 = -22 7(-22) = 5(-3a + 1) Multiply 7 * -22 -154 = 5(-3a + 1) Reorder the terms: -154 = 5(1 + -3a) -154 = (1 * 5 + -3a * 5) -154 = (5 + -15a) Solving -154 = 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. -154 + 15a = 5 + -15a + 15a Combine like terms: -15a + 15a = 0 -154 + 15a = 5 + 0 -154 + 15a = 5 Add '154' to each side of the equation. -154 + 154 + 15a = 5 + 154 Combine like terms: -154 + 154 = 0 0 + 15a = 5 + 154 15a = 5 + 154 Combine like terms: 5 + 154 = 159 15a = 159 Divide each side by '15'. a = 10.6 Simplifying a = 10.6
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