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Simplifying (2a + -7b + 1) + -1(a + -7b + 2) = 0 Reorder the terms: (1 + 2a + -7b) + -1(a + -7b + 2) = 0 Remove parenthesis around (1 + 2a + -7b) 1 + 2a + -7b + -1(a + -7b + 2) = 0 Reorder the terms: 1 + 2a + -7b + -1(2 + a + -7b) = 0 1 + 2a + -7b + (2 * -1 + a * -1 + -7b * -1) = 0 1 + 2a + -7b + (-2 + -1a + 7b) = 0 Reorder the terms: 1 + -2 + 2a + -1a + -7b + 7b = 0 Combine like terms: 1 + -2 = -1 -1 + 2a + -1a + -7b + 7b = 0 Combine like terms: 2a + -1a = 1a -1 + 1a + -7b + 7b = 0 Combine like terms: -7b + 7b = 0 -1 + 1a + 0 = 0 -1 + 1a = 0 Solving -1 + 1a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1a = 0 + 1 1a = 0 + 1 Combine like terms: 0 + 1 = 1 1a = 1 Divide each side by '1'. a = 1 Simplifying a = 1
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