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Simplifying 7(-1t + 1) = 4(t + 3) Reorder the terms: 7(1 + -1t) = 4(t + 3) (1 * 7 + -1t * 7) = 4(t + 3) (7 + -7t) = 4(t + 3) Reorder the terms: 7 + -7t = 4(3 + t) 7 + -7t = (3 * 4 + t * 4) 7 + -7t = (12 + 4t) Solving 7 + -7t = 12 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 7 + -7t + -4t = 12 + 4t + -4t Combine like terms: -7t + -4t = -11t 7 + -11t = 12 + 4t + -4t Combine like terms: 4t + -4t = 0 7 + -11t = 12 + 0 7 + -11t = 12 Add '-7' to each side of the equation. 7 + -7 + -11t = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -11t = 12 + -7 -11t = 12 + -7 Combine like terms: 12 + -7 = 5 -11t = 5 Divide each side by '-11'. t = -0.4545454545 Simplifying t = -0.4545454545
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