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Simplifying -3(w + 3) + 10 = -1(x + 14) + w Reorder the terms: -3(3 + w) + 10 = -1(x + 14) + w (3 * -3 + w * -3) + 10 = -1(x + 14) + w (-9 + -3w) + 10 = -1(x + 14) + w Reorder the terms: -9 + 10 + -3w = -1(x + 14) + w Combine like terms: -9 + 10 = 1 1 + -3w = -1(x + 14) + w Reorder the terms: 1 + -3w = -1(14 + x) + w 1 + -3w = (14 * -1 + x * -1) + w 1 + -3w = (-14 + -1x) + w Reorder the terms: 1 + -3w = -14 + w + -1x Solving 1 + -3w = -14 + w + -1x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 1 + -3w + -1w = -14 + w + -1w + -1x Combine like terms: -3w + -1w = -4w 1 + -4w = -14 + w + -1w + -1x Combine like terms: w + -1w = 0 1 + -4w = -14 + 0 + -1x 1 + -4w = -14 + -1x Add '-1' to each side of the equation. 1 + -1 + -4w = -14 + -1 + -1x Combine like terms: 1 + -1 = 0 0 + -4w = -14 + -1 + -1x -4w = -14 + -1 + -1x Combine like terms: -14 + -1 = -15 -4w = -15 + -1x Divide each side by '-4'. w = 3.75 + 0.25x Simplifying w = 3.75 + 0.25x
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