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Simplifying 4t + 6 = 8t + -30 Reorder the terms: 6 + 4t = 8t + -30 Reorder the terms: 6 + 4t = -30 + 8t Solving 6 + 4t = -30 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 6 + 4t + -8t = -30 + 8t + -8t Combine like terms: 4t + -8t = -4t 6 + -4t = -30 + 8t + -8t Combine like terms: 8t + -8t = 0 6 + -4t = -30 + 0 6 + -4t = -30 Add '-6' to each side of the equation. 6 + -6 + -4t = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -4t = -30 + -6 -4t = -30 + -6 Combine like terms: -30 + -6 = -36 -4t = -36 Divide each side by '-4'. t = 9 Simplifying t = 9
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