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Simplifying 7w + -1w(3 + 5) = 6w + -9 Combine like terms: 3 + 5 = 8 7w + -1w(8) = 6w + -9 Reorder the terms for easier multiplication: 7w + -1 * 8w = 6w + -9 Multiply -1 * 8 7w + -8w = 6w + -9 Combine like terms: 7w + -8w = -1w -1w = 6w + -9 Reorder the terms: -1w = -9 + 6w Solving -1w = -9 + 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. -1w + -6w = -9 + 6w + -6w Combine like terms: -1w + -6w = -7w -7w = -9 + 6w + -6w Combine like terms: 6w + -6w = 0 -7w = -9 + 0 -7w = -9 Divide each side by '-7'. w = 1.285714286 Simplifying w = 1.285714286
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