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Simplifying (2a + -1b) + -3(a + 5b) = 0 Remove parenthesis around (2a + -1b) 2a + -1b + -3(a + 5b) = 0 2a + -1b + (a * -3 + 5b * -3) = 0 2a + -1b + (-3a + -15b) = 0 Reorder the terms: 2a + -3a + -1b + -15b = 0 Combine like terms: 2a + -3a = -1a -1a + -1b + -15b = 0 Combine like terms: -1b + -15b = -16b -1a + -16b = 0 Solving -1a + -16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16b' to each side of the equation. -1a + -16b + 16b = 0 + 16b Combine like terms: -16b + 16b = 0 -1a + 0 = 0 + 16b -1a = 0 + 16b Remove the zero: -1a = 16b Divide each side by '-1'. a = -16b Simplifying a = -16b
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