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Simplifying t + 43 + 38t + -49 = 40t + -10 Reorder the terms: 43 + -49 + t + 38t = 40t + -10 Combine like terms: 43 + -49 = -6 -6 + t + 38t = 40t + -10 Combine like terms: t + 38t = 39t -6 + 39t = 40t + -10 Reorder the terms: -6 + 39t = -10 + 40t Solving -6 + 39t = -10 + 40t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-40t' to each side of the equation. -6 + 39t + -40t = -10 + 40t + -40t Combine like terms: 39t + -40t = -1t -6 + -1t = -10 + 40t + -40t Combine like terms: 40t + -40t = 0 -6 + -1t = -10 + 0 -6 + -1t = -10 Add '6' to each side of the equation. -6 + 6 + -1t = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -1t = -10 + 6 -1t = -10 + 6 Combine like terms: -10 + 6 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4
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