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Simplifying 4.5(t + -3) + -27 = 153 Reorder the terms: 4.5(-3 + t) + -27 = 153 (-3 * 4.5 + t * 4.5) + -27 = 153 (-13.5 + 4.5t) + -27 = 153 Reorder the terms: -13.5 + -27 + 4.5t = 153 Combine like terms: -13.5 + -27 = -40.5 -40.5 + 4.5t = 153 Solving -40.5 + 4.5t = 153 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '40.5' to each side of the equation. -40.5 + 40.5 + 4.5t = 153 + 40.5 Combine like terms: -40.5 + 40.5 = 0.0 0.0 + 4.5t = 153 + 40.5 4.5t = 153 + 40.5 Combine like terms: 153 + 40.5 = 193.5 4.5t = 193.5 Divide each side by '4.5'. t = 43 Simplifying t = 43
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