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Simplifying 0.5(t + -12) = 1.5t + -3 Reorder the terms: 0.5(-12 + t) = 1.5t + -3 (-12 * 0.5 + t * 0.5) = 1.5t + -3 (-6 + 0.5t) = 1.5t + -3 Reorder the terms: -6 + 0.5t = -3 + 1.5t Solving -6 + 0.5t = -3 + 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. -6 + 0.5t + -1.5t = -3 + 1.5t + -1.5t Combine like terms: 0.5t + -1.5t = -1t -6 + -1t = -3 + 1.5t + -1.5t Combine like terms: 1.5t + -1.5t = 0.0 -6 + -1t = -3 + 0.0 -6 + -1t = -3 Add '6' to each side of the equation. -6 + 6 + -1t = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -1t = -3 + 6 -1t = -3 + 6 Combine like terms: -3 + 6 = 3 -1t = 3 Divide each side by '-1'. t = -3 Simplifying t = -3
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