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Simplifying 5t + 4 = 6t + -34 Reorder the terms: 4 + 5t = 6t + -34 Reorder the terms: 4 + 5t = -34 + 6t Solving 4 + 5t = -34 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 4 + 5t + -6t = -34 + 6t + -6t Combine like terms: 5t + -6t = -1t 4 + -1t = -34 + 6t + -6t Combine like terms: 6t + -6t = 0 4 + -1t = -34 + 0 4 + -1t = -34 Add '-4' to each side of the equation. 4 + -4 + -1t = -34 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = -34 + -4 -1t = -34 + -4 Combine like terms: -34 + -4 = -38 -1t = -38 Divide each side by '-1'. t = 38 Simplifying t = 38
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