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Simplifying 4(t + 3) = 3t + 13 Reorder the terms: 4(3 + t) = 3t + 13 (3 * 4 + t * 4) = 3t + 13 (12 + 4t) = 3t + 13 Reorder the terms: 12 + 4t = 13 + 3t Solving 12 + 4t = 13 + 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. 12 + 4t + -3t = 13 + 3t + -3t Combine like terms: 4t + -3t = 1t 12 + 1t = 13 + 3t + -3t Combine like terms: 3t + -3t = 0 12 + 1t = 13 + 0 12 + 1t = 13 Add '-12' to each side of the equation. 12 + -12 + 1t = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 1t = 13 + -12 1t = 13 + -12 Combine like terms: 13 + -12 = 1 1t = 1 Divide each side by '1'. t = 1 Simplifying t = 1
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