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Simplifying 4(2a) + 7(-4b) + 5(3c) = 0 Remove parenthesis around (2a) 4 * 2a + 7(-4b) + 5(3c) = 0 Multiply 4 * 2 8a + 7(-4b) + 5(3c) = 0 Remove parenthesis around (-4b) 8a + 7 * -4b + 5(3c) = 0 Multiply 7 * -4 8a + -28b + 5(3c) = 0 Remove parenthesis around (3c) 8a + -28b + 5 * 3c = 0 Multiply 5 * 3 8a + -28b + 15c = 0 Solving 8a + -28b + 15c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28b' to each side of the equation. 8a + -28b + 28b + 15c = 0 + 28b Combine like terms: -28b + 28b = 0 8a + 0 + 15c = 0 + 28b 8a + 15c = 0 + 28b Remove the zero: 8a + 15c = 28b Add '-15c' to each side of the equation. 8a + 15c + -15c = 28b + -15c Combine like terms: 15c + -15c = 0 8a + 0 = 28b + -15c 8a = 28b + -15c Divide each side by '8'. a = 3.5b + -1.875c Simplifying a = 3.5b + -1.875c
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