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Simplifying 3t + -7 = 5t + -21 Reorder the terms: -7 + 3t = 5t + -21 Reorder the terms: -7 + 3t = -21 + 5t Solving -7 + 3t = -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. -7 + 3t + -5t = -21 + 5t + -5t Combine like terms: 3t + -5t = -2t -7 + -2t = -21 + 5t + -5t Combine like terms: 5t + -5t = 0 -7 + -2t = -21 + 0 -7 + -2t = -21 Add '7' to each side of the equation. -7 + 7 + -2t = -21 + 7 Combine like terms: -7 + 7 = 0 0 + -2t = -21 + 7 -2t = -21 + 7 Combine like terms: -21 + 7 = -14 -2t = -14 Divide each side by '-2'. t = 7 Simplifying t = 7
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