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Simplifying 6(-2w + -3) = 4(3w + 7) + 10 Reorder the terms: 6(-3 + -2w) = 4(3w + 7) + 10 (-3 * 6 + -2w * 6) = 4(3w + 7) + 10 (-18 + -12w) = 4(3w + 7) + 10 Reorder the terms: -18 + -12w = 4(7 + 3w) + 10 -18 + -12w = (7 * 4 + 3w * 4) + 10 -18 + -12w = (28 + 12w) + 10 Reorder the terms: -18 + -12w = 28 + 10 + 12w Combine like terms: 28 + 10 = 38 -18 + -12w = 38 + 12w Solving -18 + -12w = 38 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -18 + -12w + -12w = 38 + 12w + -12w Combine like terms: -12w + -12w = -24w -18 + -24w = 38 + 12w + -12w Combine like terms: 12w + -12w = 0 -18 + -24w = 38 + 0 -18 + -24w = 38 Add '18' to each side of the equation. -18 + 18 + -24w = 38 + 18 Combine like terms: -18 + 18 = 0 0 + -24w = 38 + 18 -24w = 38 + 18 Combine like terms: 38 + 18 = 56 -24w = 56 Divide each side by '-24'. w = -2.333333333 Simplifying w = -2.333333333
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