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Simplifying -9(t + -7) + -1(t + 4) = 3 Reorder the terms: -9(-7 + t) + -1(t + 4) = 3 (-7 * -9 + t * -9) + -1(t + 4) = 3 (63 + -9t) + -1(t + 4) = 3 Reorder the terms: 63 + -9t + -1(4 + t) = 3 63 + -9t + (4 * -1 + t * -1) = 3 63 + -9t + (-4 + -1t) = 3 Reorder the terms: 63 + -4 + -9t + -1t = 3 Combine like terms: 63 + -4 = 59 59 + -9t + -1t = 3 Combine like terms: -9t + -1t = -10t 59 + -10t = 3 Solving 59 + -10t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + -10t = 3 + -59 Combine like terms: 59 + -59 = 0 0 + -10t = 3 + -59 -10t = 3 + -59 Combine like terms: 3 + -59 = -56 -10t = -56 Divide each side by '-10'. t = 5.6 Simplifying t = 5.6
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