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Simplifying -1[5 + -1(a + 1)] = 9 + -1[5 + -1(2a + -3)] Reorder the terms: -1[5 + -1(1 + a)] = 9 + -1[5 + -1(2a + -3)] -1[5 + (1 * -1 + a * -1)] = 9 + -1[5 + -1(2a + -3)] -1[5 + (-1 + -1a)] = 9 + -1[5 + -1(2a + -3)] Combine like terms: 5 + -1 = 4 -1[4 + -1a] = 9 + -1[5 + -1(2a + -3)] [4 * -1 + -1a * -1] = 9 + -1[5 + -1(2a + -3)] [-4 + 1a] = 9 + -1[5 + -1(2a + -3)] Reorder the terms: -4 + 1a = 9 + -1[5 + -1(-3 + 2a)] -4 + 1a = 9 + -1[5 + (-3 * -1 + 2a * -1)] -4 + 1a = 9 + -1[5 + (3 + -2a)] Combine like terms: 5 + 3 = 8 -4 + 1a = 9 + -1[8 + -2a] -4 + 1a = 9 + [8 * -1 + -2a * -1] -4 + 1a = 9 + [-8 + 2a] Combine like terms: 9 + -8 = 1 -4 + 1a = 1 + 2a Solving -4 + 1a = 1 + 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. -4 + 1a + -2a = 1 + 2a + -2a Combine like terms: 1a + -2a = -1a -4 + -1a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 -4 + -1a = 1 + 0 -4 + -1a = 1 Add '4' to each side of the equation. -4 + 4 + -1a = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -1a = 1 + 4 -1a = 1 + 4 Combine like terms: 1 + 4 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5
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