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Simplifying 4(2t + 2) + -5 = -3(-1t + 6) Reorder the terms: 4(2 + 2t) + -5 = -3(-1t + 6) (2 * 4 + 2t * 4) + -5 = -3(-1t + 6) (8 + 8t) + -5 = -3(-1t + 6) Reorder the terms: 8 + -5 + 8t = -3(-1t + 6) Combine like terms: 8 + -5 = 3 3 + 8t = -3(-1t + 6) Reorder the terms: 3 + 8t = -3(6 + -1t) 3 + 8t = (6 * -3 + -1t * -3) 3 + 8t = (-18 + 3t) Solving 3 + 8t = -18 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 3 + 8t + -3t = -18 + 3t + -3t Combine like terms: 8t + -3t = 5t 3 + 5t = -18 + 3t + -3t Combine like terms: 3t + -3t = 0 3 + 5t = -18 + 0 3 + 5t = -18 Add '-3' to each side of the equation. 3 + -3 + 5t = -18 + -3 Combine like terms: 3 + -3 = 0 0 + 5t = -18 + -3 5t = -18 + -3 Combine like terms: -18 + -3 = -21 5t = -21 Divide each side by '5'. t = -4.2 Simplifying t = -4.2
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