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Simplifying 4(t + 7) = -3t + 7 Reorder the terms: 4(7 + t) = -3t + 7 (7 * 4 + t * 4) = -3t + 7 (28 + 4t) = -3t + 7 Reorder the terms: 28 + 4t = 7 + -3t Solving 28 + 4t = 7 + -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. 28 + 4t + 3t = 7 + -3t + 3t Combine like terms: 4t + 3t = 7t 28 + 7t = 7 + -3t + 3t Combine like terms: -3t + 3t = 0 28 + 7t = 7 + 0 28 + 7t = 7 Add '-28' to each side of the equation. 28 + -28 + 7t = 7 + -28 Combine like terms: 28 + -28 = 0 0 + 7t = 7 + -28 7t = 7 + -28 Combine like terms: 7 + -28 = -21 7t = -21 Divide each side by '7'. t = -3 Simplifying t = -3
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