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Simplifying -5(t + -7) + -1(t + 3) = 6 Reorder the terms: -5(-7 + t) + -1(t + 3) = 6 (-7 * -5 + t * -5) + -1(t + 3) = 6 (35 + -5t) + -1(t + 3) = 6 Reorder the terms: 35 + -5t + -1(3 + t) = 6 35 + -5t + (3 * -1 + t * -1) = 6 35 + -5t + (-3 + -1t) = 6 Reorder the terms: 35 + -3 + -5t + -1t = 6 Combine like terms: 35 + -3 = 32 32 + -5t + -1t = 6 Combine like terms: -5t + -1t = -6t 32 + -6t = 6 Solving 32 + -6t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -6t = 6 + -32 Combine like terms: 32 + -32 = 0 0 + -6t = 6 + -32 -6t = 6 + -32 Combine like terms: 6 + -32 = -26 -6t = -26 Divide each side by '-6'. t = 4.333333333 Simplifying t = 4.333333333
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