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Simplifying 2(7a + -5) = -21 + 3a Reorder the terms: 2(-5 + 7a) = -21 + 3a (-5 * 2 + 7a * 2) = -21 + 3a (-10 + 14a) = -21 + 3a Solving -10 + 14a = -21 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -10 + 14a + -3a = -21 + 3a + -3a Combine like terms: 14a + -3a = 11a -10 + 11a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -10 + 11a = -21 + 0 -10 + 11a = -21 Add '10' to each side of the equation. -10 + 10 + 11a = -21 + 10 Combine like terms: -10 + 10 = 0 0 + 11a = -21 + 10 11a = -21 + 10 Combine like terms: -21 + 10 = -11 11a = -11 Divide each side by '11'. a = -1 Simplifying a = -1
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