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Simplifying 3t + -27 = -48 + 6t Reorder the terms: -27 + 3t = -48 + 6t Solving -27 + 3t = -48 + 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. -27 + 3t + -6t = -48 + 6t + -6t Combine like terms: 3t + -6t = -3t -27 + -3t = -48 + 6t + -6t Combine like terms: 6t + -6t = 0 -27 + -3t = -48 + 0 -27 + -3t = -48 Add '27' to each side of the equation. -27 + 27 + -3t = -48 + 27 Combine like terms: -27 + 27 = 0 0 + -3t = -48 + 27 -3t = -48 + 27 Combine like terms: -48 + 27 = -21 -3t = -21 Divide each side by '-3'. t = 7 Simplifying t = 7
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