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Simplifying 2a + -1(3a) + -7a + 8b + -1b + (-2b) = 0 Remove parenthesis around (3a) 2a + -1 * 3a + -7a + 8b + -1b + (-2b) = 0 Multiply -1 * 3 2a + -3a + -7a + 8b + -1b + (-2b) = 0 Combine like terms: 2a + -3a = -1a -1a + -7a + 8b + -1b + (-2b) = 0 Combine like terms: -1a + -7a = -8a -8a + 8b + -1b + (-2b) = 0 Combine like terms: 8b + -1b = 7b -8a + 7b + (-2b) = 0 Combine like terms: 7b + (-2b) = 5b -8a + 5b = 0 Solving -8a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. -8a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 -8a + 0 = 0 + -5b -8a = 0 + -5b Remove the zero: -8a = -5b Divide each side by '-8'. a = 0.625b Simplifying a = 0.625b
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