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Simplifying 4 + -1t = 30(t + -1) + -5 Reorder the terms: 4 + -1t = 30(-1 + t) + -5 4 + -1t = (-1 * 30 + t * 30) + -5 4 + -1t = (-30 + 30t) + -5 Reorder the terms: 4 + -1t = -30 + -5 + 30t Combine like terms: -30 + -5 = -35 4 + -1t = -35 + 30t Solving 4 + -1t = -35 + 30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30t' to each side of the equation. 4 + -1t + -30t = -35 + 30t + -30t Combine like terms: -1t + -30t = -31t 4 + -31t = -35 + 30t + -30t Combine like terms: 30t + -30t = 0 4 + -31t = -35 + 0 4 + -31t = -35 Add '-4' to each side of the equation. 4 + -4 + -31t = -35 + -4 Combine like terms: 4 + -4 = 0 0 + -31t = -35 + -4 -31t = -35 + -4 Combine like terms: -35 + -4 = -39 -31t = -39 Divide each side by '-31'. t = 1.258064516 Simplifying t = 1.258064516
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