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Simplifying 2(w + -4) = 5w + 4 + -2(-6w + -3) Reorder the terms: 2(-4 + w) = 5w + 4 + -2(-6w + -3) (-4 * 2 + w * 2) = 5w + 4 + -2(-6w + -3) (-8 + 2w) = 5w + 4 + -2(-6w + -3) Reorder the terms: -8 + 2w = 5w + 4 + -2(-3 + -6w) -8 + 2w = 5w + 4 + (-3 * -2 + -6w * -2) -8 + 2w = 5w + 4 + (6 + 12w) Reorder the terms: -8 + 2w = 4 + 6 + 5w + 12w Combine like terms: 4 + 6 = 10 -8 + 2w = 10 + 5w + 12w Combine like terms: 5w + 12w = 17w -8 + 2w = 10 + 17w Solving -8 + 2w = 10 + 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. -8 + 2w + -17w = 10 + 17w + -17w Combine like terms: 2w + -17w = -15w -8 + -15w = 10 + 17w + -17w Combine like terms: 17w + -17w = 0 -8 + -15w = 10 + 0 -8 + -15w = 10 Add '8' to each side of the equation. -8 + 8 + -15w = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -15w = 10 + 8 -15w = 10 + 8 Combine like terms: 10 + 8 = 18 -15w = 18 Divide each side by '-15'. w = -1.2 Simplifying w = -1.2
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