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Simplifying 3(w + -4) + -8W = -27 Reorder the terms: 3(-4 + w) + -8W = -27 (-4 * 3 + w * 3) + -8W = -27 (-12 + 3w) + -8W = -27 Reorder the terms: -12 + -8W + 3w = -27 Solving -12 + -8W + 3w = -27 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -8W + 12 + 3w = -27 + 12 Reorder the terms: -12 + 12 + -8W + 3w = -27 + 12 Combine like terms: -12 + 12 = 0 0 + -8W + 3w = -27 + 12 -8W + 3w = -27 + 12 Combine like terms: -27 + 12 = -15 -8W + 3w = -15 Add '-3w' to each side of the equation. -8W + 3w + -3w = -15 + -3w Combine like terms: 3w + -3w = 0 -8W + 0 = -15 + -3w -8W = -15 + -3w Divide each side by '-8'. W = 1.875 + 0.375w Simplifying W = 1.875 + 0.375w
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