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Simplifying 3[W + -2] + -8 = -3[-7W + 3] + -8W Reorder the terms: 3[-2 + W] + -8 = -3[-7W + 3] + -8W [-2 * 3 + W * 3] + -8 = -3[-7W + 3] + -8W [-6 + 3W] + -8 = -3[-7W + 3] + -8W Reorder the terms: -6 + -8 + 3W = -3[-7W + 3] + -8W Combine like terms: -6 + -8 = -14 -14 + 3W = -3[-7W + 3] + -8W Reorder the terms: -14 + 3W = -3[3 + -7W] + -8W -14 + 3W = [3 * -3 + -7W * -3] + -8W -14 + 3W = [-9 + 21W] + -8W Combine like terms: 21W + -8W = 13W -14 + 3W = -9 + 13W Solving -14 + 3W = -9 + 13W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-13W' to each side of the equation. -14 + 3W + -13W = -9 + 13W + -13W Combine like terms: 3W + -13W = -10W -14 + -10W = -9 + 13W + -13W Combine like terms: 13W + -13W = 0 -14 + -10W = -9 + 0 -14 + -10W = -9 Add '14' to each side of the equation. -14 + 14 + -10W = -9 + 14 Combine like terms: -14 + 14 = 0 0 + -10W = -9 + 14 -10W = -9 + 14 Combine like terms: -9 + 14 = 5 -10W = 5 Divide each side by '-10'. W = -0.5 Simplifying W = -0.5
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