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Simplifying -15a + 3b + 7c + 15a + -5b + -4c = 0 Reorder the terms: -15a + 15a + 3b + -5b + 7c + -4c = 0 Combine like terms: -15a + 15a = 0 0 + 3b + -5b + 7c + -4c = 0 3b + -5b + 7c + -4c = 0 Combine like terms: 3b + -5b = -2b -2b + 7c + -4c = 0 Combine like terms: 7c + -4c = 3c -2b + 3c = 0 Solving -2b + 3c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3c' to each side of the equation. -2b + 3c + -3c = 0 + -3c Combine like terms: 3c + -3c = 0 -2b + 0 = 0 + -3c -2b = 0 + -3c Remove the zero: -2b = -3c Divide each side by '-2'. b = 1.5c Simplifying b = 1.5c
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