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Simplifying (3W + 4Z + 15X) + -1(-6 + 5Z + -3) = 0 Reorder the terms: (3W + 15X + 4Z) + -1(-6 + 5Z + -3) = 0 Remove parenthesis around (3W + 15X + 4Z) 3W + 15X + 4Z + -1(-6 + 5Z + -3) = 0 Reorder the terms: 3W + 15X + 4Z + -1(-6 + -3 + 5Z) = 0 Combine like terms: -6 + -3 = -9 3W + 15X + 4Z + -1(-9 + 5Z) = 0 3W + 15X + 4Z + (-9 * -1 + 5Z * -1) = 0 3W + 15X + 4Z + (9 + -5Z) = 0 Reorder the terms: 9 + 3W + 15X + 4Z + -5Z = 0 Combine like terms: 4Z + -5Z = -1Z 9 + 3W + 15X + -1Z = 0 Solving 9 + 3W + 15X + -1Z = 0 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 3W + 15X + -9 + -1Z = 0 + -9 Reorder the terms: 9 + -9 + 3W + 15X + -1Z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3W + 15X + -1Z = 0 + -9 3W + 15X + -1Z = 0 + -9 Combine like terms: 0 + -9 = -9 3W + 15X + -1Z = -9 Add '-15X' to each side of the equation. 3W + 15X + -15X + -1Z = -9 + -15X Combine like terms: 15X + -15X = 0 3W + 0 + -1Z = -9 + -15X 3W + -1Z = -9 + -15X Add 'Z' to each side of the equation. 3W + -1Z + Z = -9 + -15X + Z Combine like terms: -1Z + Z = 0 3W + 0 = -9 + -15X + Z 3W = -9 + -15X + Z Divide each side by '3'. W = -3 + -5X + 0.3333333333Z Simplifying W = -3 + -5X + 0.3333333333Z
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