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Simplifying -35 + 18t + 9 + -3t = -7t + 8t + -32 Reorder the terms: -35 + 9 + 18t + -3t = -7t + 8t + -32 Combine like terms: -35 + 9 = -26 -26 + 18t + -3t = -7t + 8t + -32 Combine like terms: 18t + -3t = 15t -26 + 15t = -7t + 8t + -32 Reorder the terms: -26 + 15t = -32 + -7t + 8t Combine like terms: -7t + 8t = 1t -26 + 15t = -32 + 1t Solving -26 + 15t = -32 + 1t 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. -26 + 15t + -1t = -32 + 1t + -1t Combine like terms: 15t + -1t = 14t -26 + 14t = -32 + 1t + -1t Combine like terms: 1t + -1t = 0 -26 + 14t = -32 + 0 -26 + 14t = -32 Add '26' to each side of the equation. -26 + 26 + 14t = -32 + 26 Combine like terms: -26 + 26 = 0 0 + 14t = -32 + 26 14t = -32 + 26 Combine like terms: -32 + 26 = -6 14t = -6 Divide each side by '14'. t = -0.4285714286 Simplifying t = -0.4285714286
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