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Simplifying 30 + -6a = -3(-5 + 7a) 30 + -6a = (-5 * -3 + 7a * -3) 30 + -6a = (15 + -21a) Solving 30 + -6a = 15 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. 30 + -6a + 21a = 15 + -21a + 21a Combine like terms: -6a + 21a = 15a 30 + 15a = 15 + -21a + 21a Combine like terms: -21a + 21a = 0 30 + 15a = 15 + 0 30 + 15a = 15 Add '-30' to each side of the equation. 30 + -30 + 15a = 15 + -30 Combine like terms: 30 + -30 = 0 0 + 15a = 15 + -30 15a = 15 + -30 Combine like terms: 15 + -30 = -15 15a = -15 Divide each side by '15'. a = -1 Simplifying a = -1
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