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Simplifying 42 = t + 9 + 16 + -15 + -17 Reorder the terms: 42 = 9 + 16 + -15 + -17 + t Combine like terms: 9 + 16 = 25 42 = 25 + -15 + -17 + t Combine like terms: 25 + -15 = 10 42 = 10 + -17 + t Combine like terms: 10 + -17 = -7 42 = -7 + t Solving 42 = -7 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 42 + -1t = -7 + t + -1t Combine like terms: t + -1t = 0 42 + -1t = -7 + 0 42 + -1t = -7 Add '-42' to each side of the equation. 42 + -42 + -1t = -7 + -42 Combine like terms: 42 + -42 = 0 0 + -1t = -7 + -42 -1t = -7 + -42 Combine like terms: -7 + -42 = -49 -1t = -49 Divide each side by '-1'. t = 49 Simplifying t = 49
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