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Simplifying -6(t + -8) + -1(t + 8) = 10 Reorder the terms: -6(-8 + t) + -1(t + 8) = 10 (-8 * -6 + t * -6) + -1(t + 8) = 10 (48 + -6t) + -1(t + 8) = 10 Reorder the terms: 48 + -6t + -1(8 + t) = 10 48 + -6t + (8 * -1 + t * -1) = 10 48 + -6t + (-8 + -1t) = 10 Reorder the terms: 48 + -8 + -6t + -1t = 10 Combine like terms: 48 + -8 = 40 40 + -6t + -1t = 10 Combine like terms: -6t + -1t = -7t 40 + -7t = 10 Solving 40 + -7t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -7t = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -7t = 10 + -40 -7t = 10 + -40 Combine like terms: 10 + -40 = -30 -7t = -30 Divide each side by '-7'. t = 4.285714286 Simplifying t = 4.285714286
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