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Simplifying 7(t + -3) + 4t = 3(7 + t) Reorder the terms: 7(-3 + t) + 4t = 3(7 + t) (-3 * 7 + t * 7) + 4t = 3(7 + t) (-21 + 7t) + 4t = 3(7 + t) Combine like terms: 7t + 4t = 11t -21 + 11t = 3(7 + t) -21 + 11t = (7 * 3 + t * 3) -21 + 11t = (21 + 3t) Solving -21 + 11t = 21 + 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. -21 + 11t + -3t = 21 + 3t + -3t Combine like terms: 11t + -3t = 8t -21 + 8t = 21 + 3t + -3t Combine like terms: 3t + -3t = 0 -21 + 8t = 21 + 0 -21 + 8t = 21 Add '21' to each side of the equation. -21 + 21 + 8t = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 8t = 21 + 21 8t = 21 + 21 Combine like terms: 21 + 21 = 42 8t = 42 Divide each side by '8'. t = 5.25 Simplifying t = 5.25
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