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Simplifying 7 + -1(t + 5) = 3(2t + -4) Reorder the terms: 7 + -1(5 + t) = 3(2t + -4) 7 + (5 * -1 + t * -1) = 3(2t + -4) 7 + (-5 + -1t) = 3(2t + -4) Combine like terms: 7 + -5 = 2 2 + -1t = 3(2t + -4) Reorder the terms: 2 + -1t = 3(-4 + 2t) 2 + -1t = (-4 * 3 + 2t * 3) 2 + -1t = (-12 + 6t) Solving 2 + -1t = -12 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 2 + -1t + -6t = -12 + 6t + -6t Combine like terms: -1t + -6t = -7t 2 + -7t = -12 + 6t + -6t Combine like terms: 6t + -6t = 0 2 + -7t = -12 + 0 2 + -7t = -12 Add '-2' to each side of the equation. 2 + -2 + -7t = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -7t = -12 + -2 -7t = -12 + -2 Combine like terms: -12 + -2 = -14 -7t = -14 Divide each side by '-7'. t = 2 Simplifying t = 2
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