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Simplifying 7 = 16(0.75w + -2) + -0.25(8w + 4) Reorder the terms: 7 = 16(-2 + 0.75w) + -0.25(8w + 4) 7 = (-2 * 16 + 0.75w * 16) + -0.25(8w + 4) 7 = (-32 + 12w) + -0.25(8w + 4) Reorder the terms: 7 = -32 + 12w + -0.25(4 + 8w) 7 = -32 + 12w + (4 * -0.25 + 8w * -0.25) 7 = -32 + 12w + (-1 + -2w) Reorder the terms: 7 = -32 + -1 + 12w + -2w Combine like terms: -32 + -1 = -33 7 = -33 + 12w + -2w Combine like terms: 12w + -2w = 10w 7 = -33 + 10w Solving 7 = -33 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 7 + -10w = -33 + 10w + -10w Combine like terms: 10w + -10w = 0 7 + -10w = -33 + 0 7 + -10w = -33 Add '-7' to each side of the equation. 7 + -7 + -10w = -33 + -7 Combine like terms: 7 + -7 = 0 0 + -10w = -33 + -7 -10w = -33 + -7 Combine like terms: -33 + -7 = -40 -10w = -40 Divide each side by '-10'. w = 4 Simplifying w = 4
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