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Simplifying 3t + 8 + -5t = -7(t + 1) Reorder the terms: 8 + 3t + -5t = -7(t + 1) Combine like terms: 3t + -5t = -2t 8 + -2t = -7(t + 1) Reorder the terms: 8 + -2t = -7(1 + t) 8 + -2t = (1 * -7 + t * -7) 8 + -2t = (-7 + -7t) Solving 8 + -2t = -7 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. 8 + -2t + 7t = -7 + -7t + 7t Combine like terms: -2t + 7t = 5t 8 + 5t = -7 + -7t + 7t Combine like terms: -7t + 7t = 0 8 + 5t = -7 + 0 8 + 5t = -7 Add '-8' to each side of the equation. 8 + -8 + 5t = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 5t = -7 + -8 5t = -7 + -8 Combine like terms: -7 + -8 = -15 5t = -15 Divide each side by '5'. t = -3 Simplifying t = -3
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