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Simplifying 7(t + -3) + 5t = 4(t + 4) + -10 Reorder the terms: 7(-3 + t) + 5t = 4(t + 4) + -10 (-3 * 7 + t * 7) + 5t = 4(t + 4) + -10 (-21 + 7t) + 5t = 4(t + 4) + -10 Combine like terms: 7t + 5t = 12t -21 + 12t = 4(t + 4) + -10 Reorder the terms: -21 + 12t = 4(4 + t) + -10 -21 + 12t = (4 * 4 + t * 4) + -10 -21 + 12t = (16 + 4t) + -10 Reorder the terms: -21 + 12t = 16 + -10 + 4t Combine like terms: 16 + -10 = 6 -21 + 12t = 6 + 4t Solving -21 + 12t = 6 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -21 + 12t + -4t = 6 + 4t + -4t Combine like terms: 12t + -4t = 8t -21 + 8t = 6 + 4t + -4t Combine like terms: 4t + -4t = 0 -21 + 8t = 6 + 0 -21 + 8t = 6 Add '21' to each side of the equation. -21 + 21 + 8t = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 8t = 6 + 21 8t = 6 + 21 Combine like terms: 6 + 21 = 27 8t = 27 Divide each side by '8'. t = 3.375 Simplifying t = 3.375
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