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Simplifying -8t + 15 + -1t = 4t + -33 Reorder the terms: 15 + -8t + -1t = 4t + -33 Combine like terms: -8t + -1t = -9t 15 + -9t = 4t + -33 Reorder the terms: 15 + -9t = -33 + 4t Solving 15 + -9t = -33 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 15 + -9t + -4t = -33 + 4t + -4t Combine like terms: -9t + -4t = -13t 15 + -13t = -33 + 4t + -4t Combine like terms: 4t + -4t = 0 15 + -13t = -33 + 0 15 + -13t = -33 Add '-15' to each side of the equation. 15 + -15 + -13t = -33 + -15 Combine like terms: 15 + -15 = 0 0 + -13t = -33 + -15 -13t = -33 + -15 Combine like terms: -33 + -15 = -48 -13t = -48 Divide each side by '-13'. t = 3.692307692 Simplifying t = 3.692307692
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