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Simplifying 0.5t + 2 = -0.5(t + 4) Reorder the terms: 2 + 0.5t = -0.5(t + 4) Reorder the terms: 2 + 0.5t = -0.5(4 + t) 2 + 0.5t = (4 * -0.5 + t * -0.5) 2 + 0.5t = (-2 + -0.5t) Solving 2 + 0.5t = -2 + -0.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.5t' to each side of the equation. 2 + 0.5t + 0.5t = -2 + -0.5t + 0.5t Combine like terms: 0.5t + 0.5t = 1t 2 + 1t = -2 + -0.5t + 0.5t Combine like terms: -0.5t + 0.5t = 0.0 2 + 1t = -2 + 0.0 2 + 1t = -2 Add '-2' to each side of the equation. 2 + -2 + 1t = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 1t = -2 + -2 1t = -2 + -2 Combine like terms: -2 + -2 = -4 1t = -4 Divide each side by '1'. t = -4 Simplifying t = -4
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