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Simplifying -4(t + -9) + -1(t + 7) = 10 Reorder the terms: -4(-9 + t) + -1(t + 7) = 10 (-9 * -4 + t * -4) + -1(t + 7) = 10 (36 + -4t) + -1(t + 7) = 10 Reorder the terms: 36 + -4t + -1(7 + t) = 10 36 + -4t + (7 * -1 + t * -1) = 10 36 + -4t + (-7 + -1t) = 10 Reorder the terms: 36 + -7 + -4t + -1t = 10 Combine like terms: 36 + -7 = 29 29 + -4t + -1t = 10 Combine like terms: -4t + -1t = -5t 29 + -5t = 10 Solving 29 + -5t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -5t = 10 + -29 Combine like terms: 29 + -29 = 0 0 + -5t = 10 + -29 -5t = 10 + -29 Combine like terms: 10 + -29 = -19 -5t = -19 Divide each side by '-5'. t = 3.8 Simplifying t = 3.8
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