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Simplifying 6[W + -1] = 3[3W + 5] Reorder the terms: 6[-1 + W] = 3[3W + 5] [-1 * 6 + W * 6] = 3[3W + 5] [-6 + 6W] = 3[3W + 5] Reorder the terms: -6 + 6W = 3[5 + 3W] -6 + 6W = [5 * 3 + 3W * 3] -6 + 6W = [15 + 9W] Solving -6 + 6W = 15 + 9W Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-9W' to each side of the equation. -6 + 6W + -9W = 15 + 9W + -9W Combine like terms: 6W + -9W = -3W -6 + -3W = 15 + 9W + -9W Combine like terms: 9W + -9W = 0 -6 + -3W = 15 + 0 -6 + -3W = 15 Add '6' to each side of the equation. -6 + 6 + -3W = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -3W = 15 + 6 -3W = 15 + 6 Combine like terms: 15 + 6 = 21 -3W = 21 Divide each side by '-3'. W = -7 Simplifying W = -7
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