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Simplifying 3t + -6 = 6t + -30 Reorder the terms: -6 + 3t = 6t + -30 Reorder the terms: -6 + 3t = -30 + 6t Solving -6 + 3t = -30 + 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. -6 + 3t + -6t = -30 + 6t + -6t Combine like terms: 3t + -6t = -3t -6 + -3t = -30 + 6t + -6t Combine like terms: 6t + -6t = 0 -6 + -3t = -30 + 0 -6 + -3t = -30 Add '6' to each side of the equation. -6 + 6 + -3t = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -3t = -30 + 6 -3t = -30 + 6 Combine like terms: -30 + 6 = -24 -3t = -24 Divide each side by '-3'. t = 8 Simplifying t = 8
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