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Simplifying 9t + -21 = 39t + -70 + 6t Reorder the terms: -21 + 9t = 39t + -70 + 6t Reorder the terms: -21 + 9t = -70 + 39t + 6t Combine like terms: 39t + 6t = 45t -21 + 9t = -70 + 45t Solving -21 + 9t = -70 + 45t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-45t' to each side of the equation. -21 + 9t + -45t = -70 + 45t + -45t Combine like terms: 9t + -45t = -36t -21 + -36t = -70 + 45t + -45t Combine like terms: 45t + -45t = 0 -21 + -36t = -70 + 0 -21 + -36t = -70 Add '21' to each side of the equation. -21 + 21 + -36t = -70 + 21 Combine like terms: -21 + 21 = 0 0 + -36t = -70 + 21 -36t = -70 + 21 Combine like terms: -70 + 21 = -49 -36t = -49 Divide each side by '-36'. t = 1.361111111 Simplifying t = 1.361111111
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