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Simplifying 1c + 2l + 3a + 4s + 5h = 0 Reorder the terms: 3a + 1c + 5h + 2l + 4s = 0 Solving 3a + 1c + 5h + 2l + 4s = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1c' to each side of the equation. 3a + 1c + 5h + 2l + -1c + 4s = 0 + -1c Reorder the terms: 3a + 1c + -1c + 5h + 2l + 4s = 0 + -1c Combine like terms: 1c + -1c = 0 3a + 0 + 5h + 2l + 4s = 0 + -1c 3a + 5h + 2l + 4s = 0 + -1c Remove the zero: 3a + 5h + 2l + 4s = -1c Add '-5h' to each side of the equation. 3a + 5h + 2l + -5h + 4s = -1c + -5h Reorder the terms: 3a + 5h + -5h + 2l + 4s = -1c + -5h Combine like terms: 5h + -5h = 0 3a + 0 + 2l + 4s = -1c + -5h 3a + 2l + 4s = -1c + -5h Add '-2l' to each side of the equation. 3a + 2l + -2l + 4s = -1c + -5h + -2l Combine like terms: 2l + -2l = 0 3a + 0 + 4s = -1c + -5h + -2l 3a + 4s = -1c + -5h + -2l Add '-4s' to each side of the equation. 3a + 4s + -4s = -1c + -5h + -2l + -4s Combine like terms: 4s + -4s = 0 3a + 0 = -1c + -5h + -2l + -4s 3a = -1c + -5h + -2l + -4s Divide each side by '3'. a = -0.3333333333c + -1.666666667h + -0.6666666667l + -1.333333333s Simplifying a = -0.3333333333c + -1.666666667h + -0.6666666667l + -1.333333333s
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