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Simplifying (A + -3b + 5) + -1(-1a + 2b + 3) = 0 Reorder the terms: (5 + A + -3b) + -1(-1a + 2b + 3) = 0 Remove parenthesis around (5 + A + -3b) 5 + A + -3b + -1(-1a + 2b + 3) = 0 Reorder the terms: 5 + A + -3b + -1(3 + -1a + 2b) = 0 5 + A + -3b + (3 * -1 + -1a * -1 + 2b * -1) = 0 5 + A + -3b + (-3 + 1a + -2b) = 0 Reorder the terms: 5 + -3 + A + 1a + -3b + -2b = 0 Combine like terms: 5 + -3 = 2 2 + A + 1a + -3b + -2b = 0 Combine like terms: -3b + -2b = -5b 2 + A + 1a + -5b = 0 Solving 2 + A + 1a + -5b = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + A + 1a + -2 + -5b = 0 + -2 Reorder the terms: 2 + -2 + A + 1a + -5b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + A + 1a + -5b = 0 + -2 A + 1a + -5b = 0 + -2 Combine like terms: 0 + -2 = -2 A + 1a + -5b = -2 Add '-1a' to each side of the equation. A + 1a + -1a + -5b = -2 + -1a Combine like terms: 1a + -1a = 0 A + 0 + -5b = -2 + -1a A + -5b = -2 + -1a Add '5b' to each side of the equation. A + -5b + 5b = -2 + -1a + 5b Combine like terms: -5b + 5b = 0 A + 0 = -2 + -1a + 5b A = -2 + -1a + 5b Simplifying A = -2 + -1a + 5b
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