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Simplifying 7t + -3 = t + 45 Reorder the terms: -3 + 7t = t + 45 Reorder the terms: -3 + 7t = 45 + t Solving -3 + 7t = 45 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -3 + 7t + -1t = 45 + t + -1t Combine like terms: 7t + -1t = 6t -3 + 6t = 45 + t + -1t Combine like terms: t + -1t = 0 -3 + 6t = 45 + 0 -3 + 6t = 45 Add '3' to each side of the equation. -3 + 3 + 6t = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 6t = 45 + 3 6t = 45 + 3 Combine like terms: 45 + 3 = 48 6t = 48 Divide each side by '6'. t = 8 Simplifying t = 8
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