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Simplifying 7(3 + -1a) + a = 5 + -2a (3 * 7 + -1a * 7) + a = 5 + -2a (21 + -7a) + a = 5 + -2a Combine like terms: -7a + a = -6a 21 + -6a = 5 + -2a Solving 21 + -6a = 5 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 21 + -6a + 2a = 5 + -2a + 2a Combine like terms: -6a + 2a = -4a 21 + -4a = 5 + -2a + 2a Combine like terms: -2a + 2a = 0 21 + -4a = 5 + 0 21 + -4a = 5 Add '-21' to each side of the equation. 21 + -21 + -4a = 5 + -21 Combine like terms: 21 + -21 = 0 0 + -4a = 5 + -21 -4a = 5 + -21 Combine like terms: 5 + -21 = -16 -4a = -16 Divide each side by '-4'. a = 4 Simplifying a = 4
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