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Simplifying 4(t + 4) + 2t = -5 + t Reorder the terms: 4(4 + t) + 2t = -5 + t (4 * 4 + t * 4) + 2t = -5 + t (16 + 4t) + 2t = -5 + t Combine like terms: 4t + 2t = 6t 16 + 6t = -5 + t Solving 16 + 6t = -5 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 16 + 6t + -1t = -5 + t + -1t Combine like terms: 6t + -1t = 5t 16 + 5t = -5 + t + -1t Combine like terms: t + -1t = 0 16 + 5t = -5 + 0 16 + 5t = -5 Add '-16' to each side of the equation. 16 + -16 + 5t = -5 + -16 Combine like terms: 16 + -16 = 0 0 + 5t = -5 + -16 5t = -5 + -16 Combine like terms: -5 + -16 = -21 5t = -21 Divide each side by '5'. t = -4.2 Simplifying t = -4.2
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