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Simplifying -10w + 37 + (-25t + 8w + -13) + 4t = 0 Reorder the terms: -10w + 37 + (-13 + -25t + 8w) + 4t = 0 Remove parenthesis around (-13 + -25t + 8w) -10w + 37 + -13 + -25t + 8w + 4t = 0 Reorder the terms: 37 + -13 + -25t + 4t + -10w + 8w = 0 Combine like terms: 37 + -13 = 24 24 + -25t + 4t + -10w + 8w = 0 Combine like terms: -25t + 4t = -21t 24 + -21t + -10w + 8w = 0 Combine like terms: -10w + 8w = -2w 24 + -21t + -2w = 0 Solving 24 + -21t + -2w = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -21t + -24 + -2w = 0 + -24 Reorder the terms: 24 + -24 + -21t + -2w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -21t + -2w = 0 + -24 -21t + -2w = 0 + -24 Combine like terms: 0 + -24 = -24 -21t + -2w = -24 Add '2w' to each side of the equation. -21t + -2w + 2w = -24 + 2w Combine like terms: -2w + 2w = 0 -21t + 0 = -24 + 2w -21t = -24 + 2w Divide each side by '-21'. t = 1.142857143 + -0.09523809524w Simplifying t = 1.142857143 + -0.09523809524w
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