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Simplifying 0.5(t + -12) = 1.5 + -3 Reorder the terms: 0.5(-12 + t) = 1.5 + -3 (-12 * 0.5 + t * 0.5) = 1.5 + -3 (-6 + 0.5t) = 1.5 + -3 Combine like terms: 1.5 + -3 = -1.5 -6 + 0.5t = -1.5 Solving -6 + 0.5t = -1.5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 0.5t = -1.5 + 6 Combine like terms: -6 + 6 = 0 0 + 0.5t = -1.5 + 6 0.5t = -1.5 + 6 Combine like terms: -1.5 + 6 = 4.5 0.5t = 4.5 Divide each side by '0.5'. t = 9 Simplifying t = 9
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