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Simplifying -9(t + -3) + -1(t + 6) = 4 Reorder the terms: -9(-3 + t) + -1(t + 6) = 4 (-3 * -9 + t * -9) + -1(t + 6) = 4 (27 + -9t) + -1(t + 6) = 4 Reorder the terms: 27 + -9t + -1(6 + t) = 4 27 + -9t + (6 * -1 + t * -1) = 4 27 + -9t + (-6 + -1t) = 4 Reorder the terms: 27 + -6 + -9t + -1t = 4 Combine like terms: 27 + -6 = 21 21 + -9t + -1t = 4 Combine like terms: -9t + -1t = -10t 21 + -10t = 4 Solving 21 + -10t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -10t = 4 + -21 Combine like terms: 21 + -21 = 0 0 + -10t = 4 + -21 -10t = 4 + -21 Combine like terms: 4 + -21 = -17 -10t = -17 Divide each side by '-10'. t = 1.7 Simplifying t = 1.7
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