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Simplifying 6(w + -19) = -3(4 + 2w) Reorder the terms: 6(-19 + w) = -3(4 + 2w) (-19 * 6 + w * 6) = -3(4 + 2w) (-114 + 6w) = -3(4 + 2w) -114 + 6w = (4 * -3 + 2w * -3) -114 + 6w = (-12 + -6w) Solving -114 + 6w = -12 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -114 + 6w + 6w = -12 + -6w + 6w Combine like terms: 6w + 6w = 12w -114 + 12w = -12 + -6w + 6w Combine like terms: -6w + 6w = 0 -114 + 12w = -12 + 0 -114 + 12w = -12 Add '114' to each side of the equation. -114 + 114 + 12w = -12 + 114 Combine like terms: -114 + 114 = 0 0 + 12w = -12 + 114 12w = -12 + 114 Combine like terms: -12 + 114 = 102 12w = 102 Divide each side by '12'. w = 8.5 Simplifying w = 8.5
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