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Simplifying 2(t + 5) = 4t + -7(t + 3) Reorder the terms: 2(5 + t) = 4t + -7(t + 3) (5 * 2 + t * 2) = 4t + -7(t + 3) (10 + 2t) = 4t + -7(t + 3) Reorder the terms: 10 + 2t = 4t + -7(3 + t) 10 + 2t = 4t + (3 * -7 + t * -7) 10 + 2t = 4t + (-21 + -7t) Reorder the terms: 10 + 2t = -21 + 4t + -7t Combine like terms: 4t + -7t = -3t 10 + 2t = -21 + -3t Solving 10 + 2t = -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. 10 + 2t + 3t = -21 + -3t + 3t Combine like terms: 2t + 3t = 5t 10 + 5t = -21 + -3t + 3t Combine like terms: -3t + 3t = 0 10 + 5t = -21 + 0 10 + 5t = -21 Add '-10' to each side of the equation. 10 + -10 + 5t = -21 + -10 Combine like terms: 10 + -10 = 0 0 + 5t = -21 + -10 5t = -21 + -10 Combine like terms: -21 + -10 = -31 5t = -31 Divide each side by '5'. t = -6.2 Simplifying t = -6.2
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