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Simplifying -9(t + -6) + -1(t + 3) = 3 Reorder the terms: -9(-6 + t) + -1(t + 3) = 3 (-6 * -9 + t * -9) + -1(t + 3) = 3 (54 + -9t) + -1(t + 3) = 3 Reorder the terms: 54 + -9t + -1(3 + t) = 3 54 + -9t + (3 * -1 + t * -1) = 3 54 + -9t + (-3 + -1t) = 3 Reorder the terms: 54 + -3 + -9t + -1t = 3 Combine like terms: 54 + -3 = 51 51 + -9t + -1t = 3 Combine like terms: -9t + -1t = -10t 51 + -10t = 3 Solving 51 + -10t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -10t = 3 + -51 Combine like terms: 51 + -51 = 0 0 + -10t = 3 + -51 -10t = 3 + -51 Combine like terms: 3 + -51 = -48 -10t = -48 Divide each side by '-10'. t = 4.8 Simplifying t = 4.8
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