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Simplifying (w + 1) = 5(2x + -3) + 1 Reorder the terms: (1 + w) = 5(2x + -3) + 1 Remove parenthesis around (1 + w) 1 + w = 5(2x + -3) + 1 Reorder the terms: 1 + w = 5(-3 + 2x) + 1 1 + w = (-3 * 5 + 2x * 5) + 1 1 + w = (-15 + 10x) + 1 Reorder the terms: 1 + w = -15 + 1 + 10x Combine like terms: -15 + 1 = -14 1 + w = -14 + 10x Solving 1 + w = -14 + 10x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w = -14 + -1 + 10x Combine like terms: 1 + -1 = 0 0 + w = -14 + -1 + 10x w = -14 + -1 + 10x Combine like terms: -14 + -1 = -15 w = -15 + 10x Simplifying w = -15 + 10x
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