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Simplifying 10(6) + t + -14 = 3t + 6 Multiply 10 * 6 60 + t + -14 = 3t + 6 Reorder the terms: 60 + -14 + t = 3t + 6 Combine like terms: 60 + -14 = 46 46 + t = 3t + 6 Reorder the terms: 46 + t = 6 + 3t Solving 46 + t = 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. 46 + t + -3t = 6 + 3t + -3t Combine like terms: t + -3t = -2t 46 + -2t = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 46 + -2t = 6 + 0 46 + -2t = 6 Add '-46' to each side of the equation. 46 + -46 + -2t = 6 + -46 Combine like terms: 46 + -46 = 0 0 + -2t = 6 + -46 -2t = 6 + -46 Combine like terms: 6 + -46 = -40 -2t = -40 Divide each side by '-2'. t = 20 Simplifying t = 20
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