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Simplifying -6W + -22 = 7(W + 8) Reorder the terms: -22 + -6W = 7(W + 8) Reorder the terms: -22 + -6W = 7(8 + W) -22 + -6W = (8 * 7 + W * 7) -22 + -6W = (56 + 7W) Solving -22 + -6W = 56 + 7W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-7W' to each side of the equation. -22 + -6W + -7W = 56 + 7W + -7W Combine like terms: -6W + -7W = -13W -22 + -13W = 56 + 7W + -7W Combine like terms: 7W + -7W = 0 -22 + -13W = 56 + 0 -22 + -13W = 56 Add '22' to each side of the equation. -22 + 22 + -13W = 56 + 22 Combine like terms: -22 + 22 = 0 0 + -13W = 56 + 22 -13W = 56 + 22 Combine like terms: 56 + 22 = 78 -13W = 78 Divide each side by '-13'. W = -6 Simplifying W = -6
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