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Simplifying -3(t + -7) + -1(t + 8) = 8 Reorder the terms: -3(-7 + t) + -1(t + 8) = 8 (-7 * -3 + t * -3) + -1(t + 8) = 8 (21 + -3t) + -1(t + 8) = 8 Reorder the terms: 21 + -3t + -1(8 + t) = 8 21 + -3t + (8 * -1 + t * -1) = 8 21 + -3t + (-8 + -1t) = 8 Reorder the terms: 21 + -8 + -3t + -1t = 8 Combine like terms: 21 + -8 = 13 13 + -3t + -1t = 8 Combine like terms: -3t + -1t = -4t 13 + -4t = 8 Solving 13 + -4t = 8 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 + -4t = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -4t = 8 + -13 -4t = 8 + -13 Combine like terms: 8 + -13 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25
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