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Simplifying (2a + -1b) * 2 + -1(2a + -1b) + -30 = 0 Reorder the terms for easier multiplication: 2(2a + -1b) + -1(2a + -1b) + -30 = 0 (2a * 2 + -1b * 2) + -1(2a + -1b) + -30 = 0 (4a + -2b) + -1(2a + -1b) + -30 = 0 4a + -2b + (2a * -1 + -1b * -1) + -30 = 0 4a + -2b + (-2a + 1b) + -30 = 0 Reorder the terms: -30 + 4a + -2a + -2b + 1b = 0 Combine like terms: 4a + -2a = 2a -30 + 2a + -2b + 1b = 0 Combine like terms: -2b + 1b = -1b -30 + 2a + -1b = 0 Solving -30 + 2a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 2a + 30 + -1b = 0 + 30 Reorder the terms: -30 + 30 + 2a + -1b = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 2a + -1b = 0 + 30 2a + -1b = 0 + 30 Combine like terms: 0 + 30 = 30 2a + -1b = 30 Add 'b' to each side of the equation. 2a + -1b + b = 30 + b Combine like terms: -1b + b = 0 2a + 0 = 30 + b 2a = 30 + b Divide each side by '2'. a = 15 + 0.5b Simplifying a = 15 + 0.5b
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