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Simplifying 5t + -13 = 12 + -6t Reorder the terms: -13 + 5t = 12 + -6t Solving -13 + 5t = 12 + -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. -13 + 5t + 6t = 12 + -6t + 6t Combine like terms: 5t + 6t = 11t -13 + 11t = 12 + -6t + 6t Combine like terms: -6t + 6t = 0 -13 + 11t = 12 + 0 -13 + 11t = 12 Add '13' to each side of the equation. -13 + 13 + 11t = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 11t = 12 + 13 11t = 12 + 13 Combine like terms: 12 + 13 = 25 11t = 25 Divide each side by '11'. t = 2.272727273 Simplifying t = 2.272727273
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