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Simplifying 7t + -6 = t + -21 + t Reorder the terms: -6 + 7t = t + -21 + t Reorder the terms: -6 + 7t = -21 + t + t Combine like terms: t + t = 2t -6 + 7t = -21 + 2t Solving -6 + 7t = -21 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -6 + 7t + -2t = -21 + 2t + -2t Combine like terms: 7t + -2t = 5t -6 + 5t = -21 + 2t + -2t Combine like terms: 2t + -2t = 0 -6 + 5t = -21 + 0 -6 + 5t = -21 Add '6' to each side of the equation. -6 + 6 + 5t = -21 + 6 Combine like terms: -6 + 6 = 0 0 + 5t = -21 + 6 5t = -21 + 6 Combine like terms: -21 + 6 = -15 5t = -15 Divide each side by '5'. t = -3 Simplifying t = -3
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