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Simplifying 12 + -6t = 5t + -21 Reorder the terms: 12 + -6t = -21 + 5t Solving 12 + -6t = -21 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 12 + -6t + -5t = -21 + 5t + -5t Combine like terms: -6t + -5t = -11t 12 + -11t = -21 + 5t + -5t Combine like terms: 5t + -5t = 0 12 + -11t = -21 + 0 12 + -11t = -21 Add '-12' to each side of the equation. 12 + -12 + -11t = -21 + -12 Combine like terms: 12 + -12 = 0 0 + -11t = -21 + -12 -11t = -21 + -12 Combine like terms: -21 + -12 = -33 -11t = -33 Divide each side by '-11'. t = 3 Simplifying t = 3
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