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Simplifying 7.5(-3.1w + -6) + 7 = 0 Reorder the terms: 7.5(-6 + -3.1w) + 7 = 0 (-6 * 7.5 + -3.1w * 7.5) + 7 = 0 (-45 + -23.25w) + 7 = 0 Reorder the terms: -45 + 7 + -23.25w = 0 Combine like terms: -45 + 7 = -38 -38 + -23.25w = 0 Solving -38 + -23.25w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -23.25w = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -23.25w = 0 + 38 -23.25w = 0 + 38 Combine like terms: 0 + 38 = 38 -23.25w = 38 Divide each side by '-23.25'. w = -1.634408602 Simplifying w = -1.634408602
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