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Simplifying 0.5t + 2 = -5(t + 4) Reorder the terms: 2 + 0.5t = -5(t + 4) Reorder the terms: 2 + 0.5t = -5(4 + t) 2 + 0.5t = (4 * -5 + t * -5) 2 + 0.5t = (-20 + -5t) Solving 2 + 0.5t = -20 + -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. 2 + 0.5t + 5t = -20 + -5t + 5t Combine like terms: 0.5t + 5t = 5.5t 2 + 5.5t = -20 + -5t + 5t Combine like terms: -5t + 5t = 0 2 + 5.5t = -20 + 0 2 + 5.5t = -20 Add '-2' to each side of the equation. 2 + -2 + 5.5t = -20 + -2 Combine like terms: 2 + -2 = 0 0 + 5.5t = -20 + -2 5.5t = -20 + -2 Combine like terms: -20 + -2 = -22 5.5t = -22 Divide each side by '5.5'. t = -4 Simplifying t = -4
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