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Simplifying 2t + 16 = 3t + -6 Reorder the terms: 16 + 2t = 3t + -6 Reorder the terms: 16 + 2t = -6 + 3t Solving 16 + 2t = -6 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 16 + 2t + -3t = -6 + 3t + -3t Combine like terms: 2t + -3t = -1t 16 + -1t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 16 + -1t = -6 + 0 16 + -1t = -6 Add '-16' to each side of the equation. 16 + -16 + -1t = -6 + -16 Combine like terms: 16 + -16 = 0 0 + -1t = -6 + -16 -1t = -6 + -16 Combine like terms: -6 + -16 = -22 -1t = -22 Divide each side by '-1'. t = 22 Simplifying t = 22
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