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Simplifying 9t + -21 = 3(2t + -8) Reorder the terms: -21 + 9t = 3(2t + -8) Reorder the terms: -21 + 9t = 3(-8 + 2t) -21 + 9t = (-8 * 3 + 2t * 3) -21 + 9t = (-24 + 6t) Solving -21 + 9t = -24 + 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. -21 + 9t + -6t = -24 + 6t + -6t Combine like terms: 9t + -6t = 3t -21 + 3t = -24 + 6t + -6t Combine like terms: 6t + -6t = 0 -21 + 3t = -24 + 0 -21 + 3t = -24 Add '21' to each side of the equation. -21 + 21 + 3t = -24 + 21 Combine like terms: -21 + 21 = 0 0 + 3t = -24 + 21 3t = -24 + 21 Combine like terms: -24 + 21 = -3 3t = -3 Divide each side by '3'. t = -1 Simplifying t = -1
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