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Simplifying -4(t + -7) + -1(t + 9) = 3 Reorder the terms: -4(-7 + t) + -1(t + 9) = 3 (-7 * -4 + t * -4) + -1(t + 9) = 3 (28 + -4t) + -1(t + 9) = 3 Reorder the terms: 28 + -4t + -1(9 + t) = 3 28 + -4t + (9 * -1 + t * -1) = 3 28 + -4t + (-9 + -1t) = 3 Reorder the terms: 28 + -9 + -4t + -1t = 3 Combine like terms: 28 + -9 = 19 19 + -4t + -1t = 3 Combine like terms: -4t + -1t = -5t 19 + -5t = 3 Solving 19 + -5t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -5t = 3 + -19 Combine like terms: 19 + -19 = 0 0 + -5t = 3 + -19 -5t = 3 + -19 Combine like terms: 3 + -19 = -16 -5t = -16 Divide each side by '-5'. t = 3.2 Simplifying t = 3.2
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