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Simplifying 7(-2a) = 5(-3a + 1) Remove parenthesis around (-2a) 7 * -2a = 5(-3a + 1) Multiply 7 * -2 -14a = 5(-3a + 1) Reorder the terms: -14a = 5(1 + -3a) -14a = (1 * 5 + -3a * 5) -14a = (5 + -15a) Solving -14a = 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. -14a + 15a = 5 + -15a + 15a Combine like terms: -14a + 15a = 1a 1a = 5 + -15a + 15a Combine like terms: -15a + 15a = 0 1a = 5 + 0 1a = 5 Divide each side by '1'. a = 5 Simplifying a = 5
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