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Simplifying -4x + y + 62 + -1w = -7 Reorder the terms: 62 + -1w + -4x + y = -7 Solving 62 + -1w + -4x + y = -7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -1w + -4x + -62 + y = -7 + -62 Reorder the terms: 62 + -62 + -1w + -4x + y = -7 + -62 Combine like terms: 62 + -62 = 0 0 + -1w + -4x + y = -7 + -62 -1w + -4x + y = -7 + -62 Combine like terms: -7 + -62 = -69 -1w + -4x + y = -69 Add '4x' to each side of the equation. -1w + -4x + 4x + y = -69 + 4x Combine like terms: -4x + 4x = 0 -1w + 0 + y = -69 + 4x -1w + y = -69 + 4x Add '-1y' to each side of the equation. -1w + y + -1y = -69 + 4x + -1y Combine like terms: y + -1y = 0 -1w + 0 = -69 + 4x + -1y -1w = -69 + 4x + -1y Divide each side by '-1'. w = 69 + -4x + y Simplifying w = 69 + -4x + y
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