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Simplifying -3t + 1 = 9t + -4(t + 1) Reorder the terms: 1 + -3t = 9t + -4(t + 1) Reorder the terms: 1 + -3t = 9t + -4(1 + t) 1 + -3t = 9t + (1 * -4 + t * -4) 1 + -3t = 9t + (-4 + -4t) Reorder the terms: 1 + -3t = -4 + 9t + -4t Combine like terms: 9t + -4t = 5t 1 + -3t = -4 + 5t Solving 1 + -3t = -4 + 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. 1 + -3t + -5t = -4 + 5t + -5t Combine like terms: -3t + -5t = -8t 1 + -8t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 1 + -8t = -4 + 0 1 + -8t = -4 Add '-1' to each side of the equation. 1 + -1 + -8t = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -8t = -4 + -1 -8t = -4 + -1 Combine like terms: -4 + -1 = -5 -8t = -5 Divide each side by '-8'. t = 0.625 Simplifying t = 0.625
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