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Simplifying -4(t + -7) + -1(t + 4) = 7 Reorder the terms: -4(-7 + t) + -1(t + 4) = 7 (-7 * -4 + t * -4) + -1(t + 4) = 7 (28 + -4t) + -1(t + 4) = 7 Reorder the terms: 28 + -4t + -1(4 + t) = 7 28 + -4t + (4 * -1 + t * -1) = 7 28 + -4t + (-4 + -1t) = 7 Reorder the terms: 28 + -4 + -4t + -1t = 7 Combine like terms: 28 + -4 = 24 24 + -4t + -1t = 7 Combine like terms: -4t + -1t = -5t 24 + -5t = 7 Solving 24 + -5t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -5t = 7 + -24 Combine like terms: 24 + -24 = 0 0 + -5t = 7 + -24 -5t = 7 + -24 Combine like terms: 7 + -24 = -17 -5t = -17 Divide each side by '-5'. t = 3.4 Simplifying t = 3.4
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