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Simplifying 7(a + 9) = 3[a + -1(4 + -1a)] Reorder the terms: 7(9 + a) = 3[a + -1(4 + -1a)] (9 * 7 + a * 7) = 3[a + -1(4 + -1a)] (63 + 7a) = 3[a + -1(4 + -1a)] 63 + 7a = 3[a + (4 * -1 + -1a * -1)] 63 + 7a = 3[a + (-4 + 1a)] Reorder the terms: 63 + 7a = 3[-4 + a + 1a] Combine like terms: a + 1a = 2a 63 + 7a = 3[-4 + 2a] 63 + 7a = [-4 * 3 + 2a * 3] 63 + 7a = [-12 + 6a] Solving 63 + 7a = -12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 63 + 7a + -6a = -12 + 6a + -6a Combine like terms: 7a + -6a = 1a 63 + 1a = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 63 + 1a = -12 + 0 63 + 1a = -12 Add '-63' to each side of the equation. 63 + -63 + 1a = -12 + -63 Combine like terms: 63 + -63 = 0 0 + 1a = -12 + -63 1a = -12 + -63 Combine like terms: -12 + -63 = -75 1a = -75 Divide each side by '1'. a = -75 Simplifying a = -75
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