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Simplifying -5(t + -7) + -1(t + 2) = 4 Reorder the terms: -5(-7 + t) + -1(t + 2) = 4 (-7 * -5 + t * -5) + -1(t + 2) = 4 (35 + -5t) + -1(t + 2) = 4 Reorder the terms: 35 + -5t + -1(2 + t) = 4 35 + -5t + (2 * -1 + t * -1) = 4 35 + -5t + (-2 + -1t) = 4 Reorder the terms: 35 + -2 + -5t + -1t = 4 Combine like terms: 35 + -2 = 33 33 + -5t + -1t = 4 Combine like terms: -5t + -1t = -6t 33 + -6t = 4 Solving 33 + -6t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -6t = 4 + -33 Combine like terms: 33 + -33 = 0 0 + -6t = 4 + -33 -6t = 4 + -33 Combine like terms: 4 + -33 = -29 -6t = -29 Divide each side by '-6'. t = 4.833333333 Simplifying t = 4.833333333
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