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Simplifying 3(w + -5) = 6w + 1 + -2(-6w + -1) Reorder the terms: 3(-5 + w) = 6w + 1 + -2(-6w + -1) (-5 * 3 + w * 3) = 6w + 1 + -2(-6w + -1) (-15 + 3w) = 6w + 1 + -2(-6w + -1) Reorder the terms: -15 + 3w = 6w + 1 + -2(-1 + -6w) -15 + 3w = 6w + 1 + (-1 * -2 + -6w * -2) -15 + 3w = 6w + 1 + (2 + 12w) Reorder the terms: -15 + 3w = 1 + 2 + 6w + 12w Combine like terms: 1 + 2 = 3 -15 + 3w = 3 + 6w + 12w Combine like terms: 6w + 12w = 18w -15 + 3w = 3 + 18w Solving -15 + 3w = 3 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. -15 + 3w + -18w = 3 + 18w + -18w Combine like terms: 3w + -18w = -15w -15 + -15w = 3 + 18w + -18w Combine like terms: 18w + -18w = 0 -15 + -15w = 3 + 0 -15 + -15w = 3 Add '15' to each side of the equation. -15 + 15 + -15w = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -15w = 3 + 15 -15w = 3 + 15 Combine like terms: 3 + 15 = 18 -15w = 18 Divide each side by '-15'. w = -1.2 Simplifying w = -1.2
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