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Simplifying 3(a + 7) = 4[a + -1(6 + -1a)] Reorder the terms: 3(7 + a) = 4[a + -1(6 + -1a)] (7 * 3 + a * 3) = 4[a + -1(6 + -1a)] (21 + 3a) = 4[a + -1(6 + -1a)] 21 + 3a = 4[a + (6 * -1 + -1a * -1)] 21 + 3a = 4[a + (-6 + 1a)] Reorder the terms: 21 + 3a = 4[-6 + a + 1a] Combine like terms: a + 1a = 2a 21 + 3a = 4[-6 + 2a] 21 + 3a = [-6 * 4 + 2a * 4] 21 + 3a = [-24 + 8a] Solving 21 + 3a = -24 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 21 + 3a + -8a = -24 + 8a + -8a Combine like terms: 3a + -8a = -5a 21 + -5a = -24 + 8a + -8a Combine like terms: 8a + -8a = 0 21 + -5a = -24 + 0 21 + -5a = -24 Add '-21' to each side of the equation. 21 + -21 + -5a = -24 + -21 Combine like terms: 21 + -21 = 0 0 + -5a = -24 + -21 -5a = -24 + -21 Combine like terms: -24 + -21 = -45 -5a = -45 Divide each side by '-5'. a = 9 Simplifying a = 9
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