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Simplifying 32 + -5t + -13t = t + -6 Combine like terms: -5t + -13t = -18t 32 + -18t = t + -6 Reorder the terms: 32 + -18t = -6 + t Solving 32 + -18t = -6 + 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. 32 + -18t + -1t = -6 + t + -1t Combine like terms: -18t + -1t = -19t 32 + -19t = -6 + t + -1t Combine like terms: t + -1t = 0 32 + -19t = -6 + 0 32 + -19t = -6 Add '-32' to each side of the equation. 32 + -32 + -19t = -6 + -32 Combine like terms: 32 + -32 = 0 0 + -19t = -6 + -32 -19t = -6 + -32 Combine like terms: -6 + -32 = -38 -19t = -38 Divide each side by '-19'. t = 2 Simplifying t = 2
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