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Simplifying 2t + -14 = 5t + -62 Reorder the terms: -14 + 2t = 5t + -62 Reorder the terms: -14 + 2t = -62 + 5t Solving -14 + 2t = -62 + 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. -14 + 2t + -5t = -62 + 5t + -5t Combine like terms: 2t + -5t = -3t -14 + -3t = -62 + 5t + -5t Combine like terms: 5t + -5t = 0 -14 + -3t = -62 + 0 -14 + -3t = -62 Add '14' to each side of the equation. -14 + 14 + -3t = -62 + 14 Combine like terms: -14 + 14 = 0 0 + -3t = -62 + 14 -3t = -62 + 14 Combine like terms: -62 + 14 = -48 -3t = -48 Divide each side by '-3'. t = 16 Simplifying t = 16
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