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Simplifying 36(a + 2b + -3c + -4) = 0 Reorder the terms: 36(-4 + a + 2b + -3c) = 0 (-4 * 36 + a * 36 + 2b * 36 + -3c * 36) = 0 (-144 + 36a + 72b + -108c) = 0 Solving -144 + 36a + 72b + -108c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '144' to each side of the equation. -144 + 36a + 72b + 144 + -108c = 0 + 144 Reorder the terms: -144 + 144 + 36a + 72b + -108c = 0 + 144 Combine like terms: -144 + 144 = 0 0 + 36a + 72b + -108c = 0 + 144 36a + 72b + -108c = 0 + 144 Combine like terms: 0 + 144 = 144 36a + 72b + -108c = 144 Add '-72b' to each side of the equation. 36a + 72b + -72b + -108c = 144 + -72b Combine like terms: 72b + -72b = 0 36a + 0 + -108c = 144 + -72b 36a + -108c = 144 + -72b Add '108c' to each side of the equation. 36a + -108c + 108c = 144 + -72b + 108c Combine like terms: -108c + 108c = 0 36a + 0 = 144 + -72b + 108c 36a = 144 + -72b + 108c Divide each side by '36'. a = 4 + -2b + 3c Simplifying a = 4 + -2b + 3c
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