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Simplifying 2(3 + -1t) + 7 = -7(t + -4) + -8 (3 * 2 + -1t * 2) + 7 = -7(t + -4) + -8 (6 + -2t) + 7 = -7(t + -4) + -8 Reorder the terms: 6 + 7 + -2t = -7(t + -4) + -8 Combine like terms: 6 + 7 = 13 13 + -2t = -7(t + -4) + -8 Reorder the terms: 13 + -2t = -7(-4 + t) + -8 13 + -2t = (-4 * -7 + t * -7) + -8 13 + -2t = (28 + -7t) + -8 Reorder the terms: 13 + -2t = 28 + -8 + -7t Combine like terms: 28 + -8 = 20 13 + -2t = 20 + -7t Solving 13 + -2t = 20 + -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. 13 + -2t + 7t = 20 + -7t + 7t Combine like terms: -2t + 7t = 5t 13 + 5t = 20 + -7t + 7t Combine like terms: -7t + 7t = 0 13 + 5t = 20 + 0 13 + 5t = 20 Add '-13' to each side of the equation. 13 + -13 + 5t = 20 + -13 Combine like terms: 13 + -13 = 0 0 + 5t = 20 + -13 5t = 20 + -13 Combine like terms: 20 + -13 = 7 5t = 7 Divide each side by '5'. t = 1.4 Simplifying t = 1.4
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