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Simplifying 0.5(t + 6) = 1.5t + -1 Reorder the terms: 0.5(6 + t) = 1.5t + -1 (6 * 0.5 + t * 0.5) = 1.5t + -1 (3 + 0.5t) = 1.5t + -1 Reorder the terms: 3 + 0.5t = -1 + 1.5t Solving 3 + 0.5t = -1 + 1.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.5t' to each side of the equation. 3 + 0.5t + -1.5t = -1 + 1.5t + -1.5t Combine like terms: 0.5t + -1.5t = -1t 3 + -1t = -1 + 1.5t + -1.5t Combine like terms: 1.5t + -1.5t = 0.0 3 + -1t = -1 + 0.0 3 + -1t = -1 Add '-3' to each side of the equation. 3 + -3 + -1t = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = -1 + -3 -1t = -1 + -3 Combine like terms: -1 + -3 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4
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