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Simplifying -4(6w + -4) + 7w = -2(w + 1) Reorder the terms: -4(-4 + 6w) + 7w = -2(w + 1) (-4 * -4 + 6w * -4) + 7w = -2(w + 1) (16 + -24w) + 7w = -2(w + 1) Combine like terms: -24w + 7w = -17w 16 + -17w = -2(w + 1) Reorder the terms: 16 + -17w = -2(1 + w) 16 + -17w = (1 * -2 + w * -2) 16 + -17w = (-2 + -2w) Solving 16 + -17w = -2 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 16 + -17w + 2w = -2 + -2w + 2w Combine like terms: -17w + 2w = -15w 16 + -15w = -2 + -2w + 2w Combine like terms: -2w + 2w = 0 16 + -15w = -2 + 0 16 + -15w = -2 Add '-16' to each side of the equation. 16 + -16 + -15w = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -15w = -2 + -16 -15w = -2 + -16 Combine like terms: -2 + -16 = -18 -15w = -18 Divide each side by '-15'. w = 1.2 Simplifying w = 1.2
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