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Simplifying 3w + -15 = 6(w + -6) Reorder the terms: -15 + 3w = 6(w + -6) Reorder the terms: -15 + 3w = 6(-6 + w) -15 + 3w = (-6 * 6 + w * 6) -15 + 3w = (-36 + 6w) Solving -15 + 3w = -36 + 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. -15 + 3w + -6w = -36 + 6w + -6w Combine like terms: 3w + -6w = -3w -15 + -3w = -36 + 6w + -6w Combine like terms: 6w + -6w = 0 -15 + -3w = -36 + 0 -15 + -3w = -36 Add '15' to each side of the equation. -15 + 15 + -3w = -36 + 15 Combine like terms: -15 + 15 = 0 0 + -3w = -36 + 15 -3w = -36 + 15 Combine like terms: -36 + 15 = -21 -3w = -21 Divide each side by '-3'. w = 7 Simplifying w = 7
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