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Simplifying 12W + 7 + -19 = 6W + W + -14 + -3W + 1 Reorder the terms: 7 + -19 + 12W = 6W + W + -14 + -3W + 1 Combine like terms: 7 + -19 = -12 -12 + 12W = 6W + W + -14 + -3W + 1 Reorder the terms: -12 + 12W = -14 + 1 + 6W + W + -3W Combine like terms: -14 + 1 = -13 -12 + 12W = -13 + 6W + W + -3W Combine like terms: 6W + W = 7W -12 + 12W = -13 + 7W + -3W Combine like terms: 7W + -3W = 4W -12 + 12W = -13 + 4W Solving -12 + 12W = -13 + 4W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-4W' to each side of the equation. -12 + 12W + -4W = -13 + 4W + -4W Combine like terms: 12W + -4W = 8W -12 + 8W = -13 + 4W + -4W Combine like terms: 4W + -4W = 0 -12 + 8W = -13 + 0 -12 + 8W = -13 Add '12' to each side of the equation. -12 + 12 + 8W = -13 + 12 Combine like terms: -12 + 12 = 0 0 + 8W = -13 + 12 8W = -13 + 12 Combine like terms: -13 + 12 = -1 8W = -1 Divide each side by '8'. W = -0.125 Simplifying W = -0.125
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