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Simplifying 8(t + -3) = 5(t + -7) Reorder the terms: 8(-3 + t) = 5(t + -7) (-3 * 8 + t * 8) = 5(t + -7) (-24 + 8t) = 5(t + -7) Reorder the terms: -24 + 8t = 5(-7 + t) -24 + 8t = (-7 * 5 + t * 5) -24 + 8t = (-35 + 5t) Solving -24 + 8t = -35 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -24 + 8t + -5t = -35 + 5t + -5t Combine like terms: 8t + -5t = 3t -24 + 3t = -35 + 5t + -5t Combine like terms: 5t + -5t = 0 -24 + 3t = -35 + 0 -24 + 3t = -35 Add '24' to each side of the equation. -24 + 24 + 3t = -35 + 24 Combine like terms: -24 + 24 = 0 0 + 3t = -35 + 24 3t = -35 + 24 Combine like terms: -35 + 24 = -11 3t = -11 Divide each side by '3'. t = -3.666666667 Simplifying t = -3.666666667
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