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Simplifying 0.5(6 + 21) = 5t + -9 Combine like terms: 6 + 21 = 27 0.5(27) = 5t + -9 Multiply 0.5 * 27 13.5 = 5t + -9 Reorder the terms: 13.5 = -9 + 5t Solving 13.5 = -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. 13.5 + -5t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 13.5 + -5t = -9 + 0 13.5 + -5t = -9 Add '-13.5' to each side of the equation. 13.5 + -13.5 + -5t = -9 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + -5t = -9 + -13.5 -5t = -9 + -13.5 Combine like terms: -9 + -13.5 = -22.5 -5t = -22.5 Divide each side by '-5'. t = 4.5 Simplifying t = 4.5
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