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Simplifying (30 + -3b + 2) + -1(4a + 5b) = 0 Reorder the terms: (30 + 2 + -3b) + -1(4a + 5b) = 0 Combine like terms: 30 + 2 = 32 (32 + -3b) + -1(4a + 5b) = 0 Remove parenthesis around (32 + -3b) 32 + -3b + -1(4a + 5b) = 0 32 + -3b + (4a * -1 + 5b * -1) = 0 32 + -3b + (-4a + -5b) = 0 Reorder the terms: 32 + -4a + -3b + -5b = 0 Combine like terms: -3b + -5b = -8b 32 + -4a + -8b = 0 Solving 32 + -4a + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -4a + -32 + -8b = 0 + -32 Reorder the terms: 32 + -32 + -4a + -8b = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -4a + -8b = 0 + -32 -4a + -8b = 0 + -32 Combine like terms: 0 + -32 = -32 -4a + -8b = -32 Add '8b' to each side of the equation. -4a + -8b + 8b = -32 + 8b Combine like terms: -8b + 8b = 0 -4a + 0 = -32 + 8b -4a = -32 + 8b Divide each side by '-4'. a = 8 + -2b Simplifying a = 8 + -2b
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