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Simplifying -6(t + -9) + -1(t + 7) = 4 Reorder the terms: -6(-9 + t) + -1(t + 7) = 4 (-9 * -6 + t * -6) + -1(t + 7) = 4 (54 + -6t) + -1(t + 7) = 4 Reorder the terms: 54 + -6t + -1(7 + t) = 4 54 + -6t + (7 * -1 + t * -1) = 4 54 + -6t + (-7 + -1t) = 4 Reorder the terms: 54 + -7 + -6t + -1t = 4 Combine like terms: 54 + -7 = 47 47 + -6t + -1t = 4 Combine like terms: -6t + -1t = -7t 47 + -7t = 4 Solving 47 + -7t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -7t = 4 + -47 Combine like terms: 47 + -47 = 0 0 + -7t = 4 + -47 -7t = 4 + -47 Combine like terms: 4 + -47 = -43 -7t = -43 Divide each side by '-7'. t = 6.142857143 Simplifying t = 6.142857143
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