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Simplifying 6(w + -2) + 5 = 4w + -3 Reorder the terms: 6(-2 + w) + 5 = 4w + -3 (-2 * 6 + w * 6) + 5 = 4w + -3 (-12 + 6w) + 5 = 4w + -3 Reorder the terms: -12 + 5 + 6w = 4w + -3 Combine like terms: -12 + 5 = -7 -7 + 6w = 4w + -3 Reorder the terms: -7 + 6w = -3 + 4w Solving -7 + 6w = -3 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -7 + 6w + -4w = -3 + 4w + -4w Combine like terms: 6w + -4w = 2w -7 + 2w = -3 + 4w + -4w Combine like terms: 4w + -4w = 0 -7 + 2w = -3 + 0 -7 + 2w = -3 Add '7' to each side of the equation. -7 + 7 + 2w = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 2w = -3 + 7 2w = -3 + 7 Combine like terms: -3 + 7 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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