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Simplifying -4(t + -5) + -1(t + 7) = 7 Reorder the terms: -4(-5 + t) + -1(t + 7) = 7 (-5 * -4 + t * -4) + -1(t + 7) = 7 (20 + -4t) + -1(t + 7) = 7 Reorder the terms: 20 + -4t + -1(7 + t) = 7 20 + -4t + (7 * -1 + t * -1) = 7 20 + -4t + (-7 + -1t) = 7 Reorder the terms: 20 + -7 + -4t + -1t = 7 Combine like terms: 20 + -7 = 13 13 + -4t + -1t = 7 Combine like terms: -4t + -1t = -5t 13 + -5t = 7 Solving 13 + -5t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -5t = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -5t = 7 + -13 -5t = 7 + -13 Combine like terms: 7 + -13 = -6 -5t = -6 Divide each side by '-5'. t = 1.2 Simplifying t = 1.2
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