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Simplifying 7 = 3(t + -5) + -1t Reorder the terms: 7 = 3(-5 + t) + -1t 7 = (-5 * 3 + t * 3) + -1t 7 = (-15 + 3t) + -1t Combine like terms: 3t + -1t = 2t 7 = -15 + 2t Solving 7 = -15 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 7 + -2t = -15 + 2t + -2t Combine like terms: 2t + -2t = 0 7 + -2t = -15 + 0 7 + -2t = -15 Add '-7' to each side of the equation. 7 + -7 + -2t = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -2t = -15 + -7 -2t = -15 + -7 Combine like terms: -15 + -7 = -22 -2t = -22 Divide each side by '-2'. t = 11 Simplifying t = 11
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