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Simplifying 3(w + -7) + -7 = -4(-3w + 8) + -1w Reorder the terms: 3(-7 + w) + -7 = -4(-3w + 8) + -1w (-7 * 3 + w * 3) + -7 = -4(-3w + 8) + -1w (-21 + 3w) + -7 = -4(-3w + 8) + -1w Reorder the terms: -21 + -7 + 3w = -4(-3w + 8) + -1w Combine like terms: -21 + -7 = -28 -28 + 3w = -4(-3w + 8) + -1w Reorder the terms: -28 + 3w = -4(8 + -3w) + -1w -28 + 3w = (8 * -4 + -3w * -4) + -1w -28 + 3w = (-32 + 12w) + -1w Combine like terms: 12w + -1w = 11w -28 + 3w = -32 + 11w Solving -28 + 3w = -32 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -28 + 3w + -11w = -32 + 11w + -11w Combine like terms: 3w + -11w = -8w -28 + -8w = -32 + 11w + -11w Combine like terms: 11w + -11w = 0 -28 + -8w = -32 + 0 -28 + -8w = -32 Add '28' to each side of the equation. -28 + 28 + -8w = -32 + 28 Combine like terms: -28 + 28 = 0 0 + -8w = -32 + 28 -8w = -32 + 28 Combine like terms: -32 + 28 = -4 -8w = -4 Divide each side by '-8'. w = 0.5 Simplifying w = 0.5
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