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Simplifying 3(w + -3) = 6w + 1 + -3(-5 + -2) Reorder the terms: 3(-3 + w) = 6w + 1 + -3(-5 + -2) (-3 * 3 + w * 3) = 6w + 1 + -3(-5 + -2) (-9 + 3w) = 6w + 1 + -3(-5 + -2) Combine like terms: -5 + -2 = -7 -9 + 3w = 6w + 1 + -3(-7) Multiply -3 * -7 -9 + 3w = 6w + 1 + 21 Reorder the terms: -9 + 3w = 1 + 21 + 6w Combine like terms: 1 + 21 = 22 -9 + 3w = 22 + 6w Solving -9 + 3w = 22 + 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. -9 + 3w + -6w = 22 + 6w + -6w Combine like terms: 3w + -6w = -3w -9 + -3w = 22 + 6w + -6w Combine like terms: 6w + -6w = 0 -9 + -3w = 22 + 0 -9 + -3w = 22 Add '9' to each side of the equation. -9 + 9 + -3w = 22 + 9 Combine like terms: -9 + 9 = 0 0 + -3w = 22 + 9 -3w = 22 + 9 Combine like terms: 22 + 9 = 31 -3w = 31 Divide each side by '-3'. w = -10.33333333 Simplifying w = -10.33333333
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