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Simplifying 7[a + 3] = 4a Reorder the terms: 7[3 + a] = 4a [3 * 7 + a * 7] = 4a [21 + 7a] = 4a Solving 21 + 7a = 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 21 + 7a + -4a = 4a + -4a Combine like terms: 7a + -4a = 3a 21 + 3a = 4a + -4a Combine like terms: 4a + -4a = 0 21 + 3a = 0 Add '-21' to each side of the equation. 21 + -21 + 3a = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3a = 0 + -21 3a = 0 + -21 Combine like terms: 0 + -21 = -21 3a = -21 Divide each side by '3'. a = -7 Simplifying a = -7
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