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Simplifying 3(t + 7) = 4(t + -5) Reorder the terms: 3(7 + t) = 4(t + -5) (7 * 3 + t * 3) = 4(t + -5) (21 + 3t) = 4(t + -5) Reorder the terms: 21 + 3t = 4(-5 + t) 21 + 3t = (-5 * 4 + t * 4) 21 + 3t = (-20 + 4t) Solving 21 + 3t = -20 + 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 + 3t + -4t = -20 + 4t + -4t Combine like terms: 3t + -4t = -1t 21 + -1t = -20 + 4t + -4t Combine like terms: 4t + -4t = 0 21 + -1t = -20 + 0 21 + -1t = -20 Add '-21' to each side of the equation. 21 + -21 + -1t = -20 + -21 Combine like terms: 21 + -21 = 0 0 + -1t = -20 + -21 -1t = -20 + -21 Combine like terms: -20 + -21 = -41 -1t = -41 Divide each side by '-1'. t = 41 Simplifying t = 41
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