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Simplifying 3(w + -10) + 4(w + -19) = 13 Reorder the terms: 3(-10 + w) + 4(w + -19) = 13 (-10 * 3 + w * 3) + 4(w + -19) = 13 (-30 + 3w) + 4(w + -19) = 13 Reorder the terms: -30 + 3w + 4(-19 + w) = 13 -30 + 3w + (-19 * 4 + w * 4) = 13 -30 + 3w + (-76 + 4w) = 13 Reorder the terms: -30 + -76 + 3w + 4w = 13 Combine like terms: -30 + -76 = -106 -106 + 3w + 4w = 13 Combine like terms: 3w + 4w = 7w -106 + 7w = 13 Solving -106 + 7w = 13 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '106' to each side of the equation. -106 + 106 + 7w = 13 + 106 Combine like terms: -106 + 106 = 0 0 + 7w = 13 + 106 7w = 13 + 106 Combine like terms: 13 + 106 = 119 7w = 119 Divide each side by '7'. w = 17 Simplifying w = 17
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