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Simplifying 5(3a + 6b) + -1b + -4 = 0 (3a * 5 + 6b * 5) + -1b + -4 = 0 (15a + 30b) + -1b + -4 = 0 Reorder the terms: -4 + 15a + 30b + -1b = 0 Combine like terms: 30b + -1b = 29b -4 + 15a + 29b = 0 Solving -4 + 15a + 29b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 15a + 4 + 29b = 0 + 4 Reorder the terms: -4 + 4 + 15a + 29b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 15a + 29b = 0 + 4 15a + 29b = 0 + 4 Combine like terms: 0 + 4 = 4 15a + 29b = 4 Add '-29b' to each side of the equation. 15a + 29b + -29b = 4 + -29b Combine like terms: 29b + -29b = 0 15a + 0 = 4 + -29b 15a = 4 + -29b Divide each side by '15'. a = 0.2666666667 + -1.933333333b Simplifying a = 0.2666666667 + -1.933333333b
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