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Simplifying 3(2w + -4) + 7w = 14 + -1w + -6(2w + 1) Reorder the terms: 3(-4 + 2w) + 7w = 14 + -1w + -6(2w + 1) (-4 * 3 + 2w * 3) + 7w = 14 + -1w + -6(2w + 1) (-12 + 6w) + 7w = 14 + -1w + -6(2w + 1) Combine like terms: 6w + 7w = 13w -12 + 13w = 14 + -1w + -6(2w + 1) Reorder the terms: -12 + 13w = 14 + -1w + -6(1 + 2w) -12 + 13w = 14 + -1w + (1 * -6 + 2w * -6) -12 + 13w = 14 + -1w + (-6 + -12w) Reorder the terms: -12 + 13w = 14 + -6 + -1w + -12w Combine like terms: 14 + -6 = 8 -12 + 13w = 8 + -1w + -12w Combine like terms: -1w + -12w = -13w -12 + 13w = 8 + -13w Solving -12 + 13w = 8 + -13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13w' to each side of the equation. -12 + 13w + 13w = 8 + -13w + 13w Combine like terms: 13w + 13w = 26w -12 + 26w = 8 + -13w + 13w Combine like terms: -13w + 13w = 0 -12 + 26w = 8 + 0 -12 + 26w = 8 Add '12' to each side of the equation. -12 + 12 + 26w = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 26w = 8 + 12 26w = 8 + 12 Combine like terms: 8 + 12 = 20 26w = 20 Divide each side by '26'. w = 0.7692307692 Simplifying w = 0.7692307692
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