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Simplifying -1(2a + -5b) + -1[(5a + -3b) + -1(5a + -5b)] = 0 (2a * -1 + -5b * -1) + -1[(5a + -3b) + -1(5a + -5b)] = 0 (-2a + 5b) + -1[(5a + -3b) + -1(5a + -5b)] = 0 Remove parenthesis around (5a + -3b) -2a + 5b + -1[5a + -3b + -1(5a + -5b)] = 0 -2a + 5b + -1[5a + -3b + (5a * -1 + -5b * -1)] = 0 -2a + 5b + -1[5a + -3b + (-5a + 5b)] = 0 Reorder the terms: -2a + 5b + -1[5a + -5a + -3b + 5b] = 0 Combine like terms: 5a + -5a = 0 -2a + 5b + -1[0 + -3b + 5b] = 0 -2a + 5b + -1[-3b + 5b] = 0 Combine like terms: -3b + 5b = 2b -2a + 5b + -1[2b] = 0 Remove brackets around [2b] -2a + 5b + -1 * 2b = 0 Multiply -1 * 2 -2a + 5b + -2b = 0 Combine like terms: 5b + -2b = 3b -2a + 3b = 0 Solving -2a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -2a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 -2a + 0 = 0 + -3b -2a = 0 + -3b Remove the zero: -2a = -3b Divide each side by '-2'. a = 1.5b Simplifying a = 1.5b
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