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Simplifying 5t(w + 1) + -1w = 3(w + -1) + 7 Reorder the terms: 5t(1 + w) + -1w = 3(w + -1) + 7 (1 * 5t + w * 5t) + -1w = 3(w + -1) + 7 (5t + 5tw) + -1w = 3(w + -1) + 7 Reorder the terms: 5t + 5tw + -1w = 3(-1 + w) + 7 5t + 5tw + -1w = (-1 * 3 + w * 3) + 7 5t + 5tw + -1w = (-3 + 3w) + 7 Reorder the terms: 5t + 5tw + -1w = -3 + 7 + 3w Combine like terms: -3 + 7 = 4 5t + 5tw + -1w = 4 + 3w Solving 5t + 5tw + -1w = 4 + 3w Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 'w' to each side of the equation. 5t + 5tw + -1w + w = 4 + 3w + w Combine like terms: -1w + w = 0 5t + 5tw + 0 = 4 + 3w + w 5t + 5tw = 4 + 3w + w Combine like terms: 3w + w = 4w 5t + 5tw = 4 + 4w Reorder the terms: -4 + 5t + 5tw + -4w = 4 + 4w + -4 + -4w Reorder the terms: -4 + 5t + 5tw + -4w = 4 + -4 + 4w + -4w Combine like terms: 4 + -4 = 0 -4 + 5t + 5tw + -4w = 0 + 4w + -4w -4 + 5t + 5tw + -4w = 4w + -4w Combine like terms: 4w + -4w = 0 -4 + 5t + 5tw + -4w = 0 The solution to this equation could not be determined.
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