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Simplifying -4(t + -4) + -1(t + 7) = 7 Reorder the terms: -4(-4 + t) + -1(t + 7) = 7 (-4 * -4 + t * -4) + -1(t + 7) = 7 (16 + -4t) + -1(t + 7) = 7 Reorder the terms: 16 + -4t + -1(7 + t) = 7 16 + -4t + (7 * -1 + t * -1) = 7 16 + -4t + (-7 + -1t) = 7 Reorder the terms: 16 + -7 + -4t + -1t = 7 Combine like terms: 16 + -7 = 9 9 + -4t + -1t = 7 Combine like terms: -4t + -1t = -5t 9 + -5t = 7 Solving 9 + -5t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5t = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -5t = 7 + -9 -5t = 7 + -9 Combine like terms: 7 + -9 = -2 -5t = -2 Divide each side by '-5'. t = 0.4 Simplifying t = 0.4
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