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Simplifying -7(t + -6) + -4(4 + 1) = -8 Reorder the terms: -7(-6 + t) + -4(4 + 1) = -8 (-6 * -7 + t * -7) + -4(4 + 1) = -8 (42 + -7t) + -4(4 + 1) = -8 Combine like terms: 4 + 1 = 5 42 + -7t + -4(5) = -8 Multiply -4 * 5 42 + -7t + -20 = -8 Reorder the terms: 42 + -20 + -7t = -8 Combine like terms: 42 + -20 = 22 22 + -7t = -8 Solving 22 + -7t = -8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -7t = -8 + -22 Combine like terms: 22 + -22 = 0 0 + -7t = -8 + -22 -7t = -8 + -22 Combine like terms: -8 + -22 = -30 -7t = -30 Divide each side by '-7'. t = 4.285714286 Simplifying t = 4.285714286
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