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Simplifying 6(w + -9) + -4 = -6(-5w + 7) + -6w Reorder the terms: 6(-9 + w) + -4 = -6(-5w + 7) + -6w (-9 * 6 + w * 6) + -4 = -6(-5w + 7) + -6w (-54 + 6w) + -4 = -6(-5w + 7) + -6w Reorder the terms: -54 + -4 + 6w = -6(-5w + 7) + -6w Combine like terms: -54 + -4 = -58 -58 + 6w = -6(-5w + 7) + -6w Reorder the terms: -58 + 6w = -6(7 + -5w) + -6w -58 + 6w = (7 * -6 + -5w * -6) + -6w -58 + 6w = (-42 + 30w) + -6w Combine like terms: 30w + -6w = 24w -58 + 6w = -42 + 24w Solving -58 + 6w = -42 + 24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24w' to each side of the equation. -58 + 6w + -24w = -42 + 24w + -24w Combine like terms: 6w + -24w = -18w -58 + -18w = -42 + 24w + -24w Combine like terms: 24w + -24w = 0 -58 + -18w = -42 + 0 -58 + -18w = -42 Add '58' to each side of the equation. -58 + 58 + -18w = -42 + 58 Combine like terms: -58 + 58 = 0 0 + -18w = -42 + 58 -18w = -42 + 58 Combine like terms: -42 + 58 = 16 -18w = 16 Divide each side by '-18'. w = -0.8888888889 Simplifying w = -0.8888888889
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