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Simplifying -4(t + -9) + -1(t + 6) = 7 Reorder the terms: -4(-9 + t) + -1(t + 6) = 7 (-9 * -4 + t * -4) + -1(t + 6) = 7 (36 + -4t) + -1(t + 6) = 7 Reorder the terms: 36 + -4t + -1(6 + t) = 7 36 + -4t + (6 * -1 + t * -1) = 7 36 + -4t + (-6 + -1t) = 7 Reorder the terms: 36 + -6 + -4t + -1t = 7 Combine like terms: 36 + -6 = 30 30 + -4t + -1t = 7 Combine like terms: -4t + -1t = -5t 30 + -5t = 7 Solving 30 + -5t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -5t = 7 + -30 Combine like terms: 30 + -30 = 0 0 + -5t = 7 + -30 -5t = 7 + -30 Combine like terms: 7 + -30 = -23 -5t = -23 Divide each side by '-5'. t = 4.6 Simplifying t = 4.6
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