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Simplifying S + -1(12 + 4z) = 3(6z + -18) S + (12 * -1 + 4z * -1) = 3(6z + -18) S + (-12 + -4z) = 3(6z + -18) Reorder the terms: -12 + S + -4z = 3(6z + -18) Reorder the terms: -12 + S + -4z = 3(-18 + 6z) -12 + S + -4z = (-18 * 3 + 6z * 3) -12 + S + -4z = (-54 + 18z) Solving -12 + S + -4z = -54 + 18z Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '12' to each side of the equation. -12 + S + 12 + -4z = -54 + 12 + 18z Reorder the terms: -12 + 12 + S + -4z = -54 + 12 + 18z Combine like terms: -12 + 12 = 0 0 + S + -4z = -54 + 12 + 18z S + -4z = -54 + 12 + 18z Combine like terms: -54 + 12 = -42 S + -4z = -42 + 18z Add '4z' to each side of the equation. S + -4z + 4z = -42 + 18z + 4z Combine like terms: -4z + 4z = 0 S + 0 = -42 + 18z + 4z S = -42 + 18z + 4z Combine like terms: 18z + 4z = 22z S = -42 + 22z Simplifying S = -42 + 22z
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