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Simplifying 8 + -3w = 4(w + -3) + 6 Reorder the terms: 8 + -3w = 4(-3 + w) + 6 8 + -3w = (-3 * 4 + w * 4) + 6 8 + -3w = (-12 + 4w) + 6 Reorder the terms: 8 + -3w = -12 + 6 + 4w Combine like terms: -12 + 6 = -6 8 + -3w = -6 + 4w Solving 8 + -3w = -6 + 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. 8 + -3w + -4w = -6 + 4w + -4w Combine like terms: -3w + -4w = -7w 8 + -7w = -6 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + -7w = -6 + 0 8 + -7w = -6 Add '-8' to each side of the equation. 8 + -8 + -7w = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -7w = -6 + -8 -7w = -6 + -8 Combine like terms: -6 + -8 = -14 -7w = -14 Divide each side by '-7'. w = 2 Simplifying w = 2
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