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Simplifying 0.5(6 + 2t) = 5t + -9 (6 * 0.5 + 2t * 0.5) = 5t + -9 (3 + 1t) = 5t + -9 Reorder the terms: 3 + 1t = -9 + 5t Solving 3 + 1t = -9 + 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. 3 + 1t + -5t = -9 + 5t + -5t Combine like terms: 1t + -5t = -4t 3 + -4t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 3 + -4t = -9 + 0 3 + -4t = -9 Add '-3' to each side of the equation. 3 + -3 + -4t = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -4t = -9 + -3 -4t = -9 + -3 Combine like terms: -9 + -3 = -12 -4t = -12 Divide each side by '-4'. t = 3 Simplifying t = 3
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