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Simplifying 5(3a + -7b + 8c) = 0 (3a * 5 + -7b * 5 + 8c * 5) = 0 (15a + -35b + 40c) = 0 Solving 15a + -35b + 40c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35b' to each side of the equation. 15a + -35b + 35b + 40c = 0 + 35b Combine like terms: -35b + 35b = 0 15a + 0 + 40c = 0 + 35b 15a + 40c = 0 + 35b Remove the zero: 15a + 40c = 35b Add '-40c' to each side of the equation. 15a + 40c + -40c = 35b + -40c Combine like terms: 40c + -40c = 0 15a + 0 = 35b + -40c 15a = 35b + -40c Divide each side by '15'. a = 2.333333333b + -2.666666667c Simplifying a = 2.333333333b + -2.666666667c
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