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Simplifying 3(Mt + 2) = 7(4t + 6) Reorder the terms: 3(2 + tM) = 7(4t + 6) (2 * 3 + tM * 3) = 7(4t + 6) (6 + 3tM) = 7(4t + 6) Reorder the terms: 6 + 3tM = 7(6 + 4t) 6 + 3tM = (6 * 7 + 4t * 7) 6 + 3tM = (42 + 28t) Solving 6 + 3tM = 42 + 28t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28t' to each side of the equation. 6 + -28t + 3tM = 42 + 28t + -28t Combine like terms: 28t + -28t = 0 6 + -28t + 3tM = 42 + 0 6 + -28t + 3tM = 42 Add '-6' to each side of the equation. 6 + -28t + -6 + 3tM = 42 + -6 Reorder the terms: 6 + -6 + -28t + 3tM = 42 + -6 Combine like terms: 6 + -6 = 0 0 + -28t + 3tM = 42 + -6 -28t + 3tM = 42 + -6 Combine like terms: 42 + -6 = 36 -28t + 3tM = 36 Reorder the terms: -36 + -28t + 3tM = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + -28t + 3tM = 0 The solution to this equation could not be determined.
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