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Simplifying 10(w + -4) = 4(w + 4) * 4 + w Reorder the terms: 10(-4 + w) = 4(w + 4) * 4 + w (-4 * 10 + w * 10) = 4(w + 4) * 4 + w (-40 + 10w) = 4(w + 4) * 4 + w Reorder the terms: -40 + 10w = 4(4 + w) * 4 + w Reorder the terms for easier multiplication: -40 + 10w = 4 * 4(4 + w) + w Multiply 4 * 4 -40 + 10w = 16(4 + w) + w -40 + 10w = (4 * 16 + w * 16) + w -40 + 10w = (64 + 16w) + w Combine like terms: 16w + w = 17w -40 + 10w = 64 + 17w Solving -40 + 10w = 64 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -40 + 10w + -17w = 64 + 17w + -17w Combine like terms: 10w + -17w = -7w -40 + -7w = 64 + 17w + -17w Combine like terms: 17w + -17w = 0 -40 + -7w = 64 + 0 -40 + -7w = 64 Add '40' to each side of the equation. -40 + 40 + -7w = 64 + 40 Combine like terms: -40 + 40 = 0 0 + -7w = 64 + 40 -7w = 64 + 40 Combine like terms: 64 + 40 = 104 -7w = 104 Divide each side by '-7'. w = -14.85714286 Simplifying w = -14.85714286
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