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Simplifying 5t + 7 + -9t = 4t + -33 Reorder the terms: 7 + 5t + -9t = 4t + -33 Combine like terms: 5t + -9t = -4t 7 + -4t = 4t + -33 Reorder the terms: 7 + -4t = -33 + 4t Solving 7 + -4t = -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. 7 + -4t + -4t = -33 + 4t + -4t Combine like terms: -4t + -4t = -8t 7 + -8t = -33 + 4t + -4t Combine like terms: 4t + -4t = 0 7 + -8t = -33 + 0 7 + -8t = -33 Add '-7' to each side of the equation. 7 + -7 + -8t = -33 + -7 Combine like terms: 7 + -7 = 0 0 + -8t = -33 + -7 -8t = -33 + -7 Combine like terms: -33 + -7 = -40 -8t = -40 Divide each side by '-8'. t = 5 Simplifying t = 5
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