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Simplifying -3 + -3(t + -3) = 5(t + 4) + 4 Reorder the terms: -3 + -3(-3 + t) = 5(t + 4) + 4 -3 + (-3 * -3 + t * -3) = 5(t + 4) + 4 -3 + (9 + -3t) = 5(t + 4) + 4 Combine like terms: -3 + 9 = 6 6 + -3t = 5(t + 4) + 4 Reorder the terms: 6 + -3t = 5(4 + t) + 4 6 + -3t = (4 * 5 + t * 5) + 4 6 + -3t = (20 + 5t) + 4 Reorder the terms: 6 + -3t = 20 + 4 + 5t Combine like terms: 20 + 4 = 24 6 + -3t = 24 + 5t Solving 6 + -3t = 24 + 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. 6 + -3t + -5t = 24 + 5t + -5t Combine like terms: -3t + -5t = -8t 6 + -8t = 24 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + -8t = 24 + 0 6 + -8t = 24 Add '-6' to each side of the equation. 6 + -6 + -8t = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -8t = 24 + -6 -8t = 24 + -6 Combine like terms: 24 + -6 = 18 -8t = 18 Divide each side by '-8'. t = -2.25 Simplifying t = -2.25
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