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Simplifying 4(t + 6) = 7t + 3 Reorder the terms: 4(6 + t) = 7t + 3 (6 * 4 + t * 4) = 7t + 3 (24 + 4t) = 7t + 3 Reorder the terms: 24 + 4t = 3 + 7t Solving 24 + 4t = 3 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 24 + 4t + -7t = 3 + 7t + -7t Combine like terms: 4t + -7t = -3t 24 + -3t = 3 + 7t + -7t Combine like terms: 7t + -7t = 0 24 + -3t = 3 + 0 24 + -3t = 3 Add '-24' to each side of the equation. 24 + -24 + -3t = 3 + -24 Combine like terms: 24 + -24 = 0 0 + -3t = 3 + -24 -3t = 3 + -24 Combine like terms: 3 + -24 = -21 -3t = -21 Divide each side by '-3'. t = 7 Simplifying t = 7
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