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Simplifying 7 + 3t = -1(t + -6) Reorder the terms: 7 + 3t = -1(-6 + t) 7 + 3t = (-6 * -1 + t * -1) 7 + 3t = (6 + -1t) Solving 7 + 3t = 6 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 7 + 3t + t = 6 + -1t + t Combine like terms: 3t + t = 4t 7 + 4t = 6 + -1t + t Combine like terms: -1t + t = 0 7 + 4t = 6 + 0 7 + 4t = 6 Add '-7' to each side of the equation. 7 + -7 + 4t = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 4t = 6 + -7 4t = 6 + -7 Combine like terms: 6 + -7 = -1 4t = -1 Divide each side by '4'. t = -0.25 Simplifying t = -0.25
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