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Simplifying 7(35) = 5(-3a + 1) Multiply 7 * 35 245 = 5(-3a + 1) Reorder the terms: 245 = 5(1 + -3a) 245 = (1 * 5 + -3a * 5) 245 = (5 + -15a) Solving 245 = 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. 245 + 15a = 5 + -15a + 15a Combine like terms: -15a + 15a = 0 245 + 15a = 5 + 0 245 + 15a = 5 Add '-245' to each side of the equation. 245 + -245 + 15a = 5 + -245 Combine like terms: 245 + -245 = 0 0 + 15a = 5 + -245 15a = 5 + -245 Combine like terms: 5 + -245 = -240 15a = -240 Divide each side by '15'. a = -16 Simplifying a = -16
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