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Simplifying -5(3a) + 6b(8) + -4c = 0 Remove parenthesis around (3a) -5 * 3a + 6b(8) + -4c = 0 Multiply -5 * 3 -15a + 6b(8) + -4c = 0 Reorder the terms for easier multiplication: -15a + 6 * 8b + -4c = 0 Multiply 6 * 8 -15a + 48b + -4c = 0 Solving -15a + 48b + -4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48b' to each side of the equation. -15a + 48b + -48b + -4c = 0 + -48b Combine like terms: 48b + -48b = 0 -15a + 0 + -4c = 0 + -48b -15a + -4c = 0 + -48b Remove the zero: -15a + -4c = -48b Add '4c' to each side of the equation. -15a + -4c + 4c = -48b + 4c Combine like terms: -4c + 4c = 0 -15a + 0 = -48b + 4c -15a = -48b + 4c Divide each side by '-15'. a = 3.2b + -0.2666666667c Simplifying a = 3.2b + -0.2666666667c
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