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Simplifying (2a + -3b) + -1(a + -1b) = (2a + a) + -1(3b + b) Remove parenthesis around (2a + -3b) 2a + -3b + -1(a + -1b) = (2a + a) + -1(3b + b) 2a + -3b + (a * -1 + -1b * -1) = (2a + a) + -1(3b + b) 2a + -3b + (-1a + 1b) = (2a + a) + -1(3b + b) Reorder the terms: 2a + -1a + -3b + 1b = (2a + a) + -1(3b + b) Combine like terms: 2a + -1a = 1a 1a + -3b + 1b = (2a + a) + -1(3b + b) Combine like terms: -3b + 1b = -2b 1a + -2b = (2a + a) + -1(3b + b) Combine like terms: 2a + a = 3a 1a + -2b = (3a) + -1(3b + b) 1a + -2b = (3a) + -1(3b + b) Combine like terms: 3b + b = 4b 1a + -2b = (3a) + -1(4b) Remove parenthesis around (4b) 1a + -2b = (3a) + -1 * 4b Multiply -1 * 4 1a + -2b = (3a) + -4b Solving 1a + -2b = (3a) + -4b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '(-3a)' to each side of the equation. 1a + (-3a) + -2b = (3a) + (-3a) + -4b Combine like terms: 1a + (-3a) = -2a -2a + -2b = (3a) + (-3a) + -4b Combine like terms: (3a) + (-3a) = 0 -2a + -2b = 0 + -4b -2a + -2b = -4b Add '2b' to each side of the equation. -2a + -2b + 2b = -4b + 2b Combine like terms: -2b + 2b = 0 -2a + 0 = -4b + 2b -2a = -4b + 2b Combine like terms: -4b + 2b = -2b -2a = -2b Divide each side by '-2'. a = b Simplifying a = b
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