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Simplifying (16.5 + 3t) + -5 = 3(0.9 + -1t) Remove parenthesis around (16.5 + 3t) 16.5 + 3t + -5 = 3(0.9 + -1t) Reorder the terms: 16.5 + -5 + 3t = 3(0.9 + -1t) Combine like terms: 16.5 + -5 = 11.5 11.5 + 3t = 3(0.9 + -1t) 11.5 + 3t = (0.9 * 3 + -1t * 3) 11.5 + 3t = (2.7 + -3t) Solving 11.5 + 3t = 2.7 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 11.5 + 3t + 3t = 2.7 + -3t + 3t Combine like terms: 3t + 3t = 6t 11.5 + 6t = 2.7 + -3t + 3t Combine like terms: -3t + 3t = 0 11.5 + 6t = 2.7 + 0 11.5 + 6t = 2.7 Add '-11.5' to each side of the equation. 11.5 + -11.5 + 6t = 2.7 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + 6t = 2.7 + -11.5 6t = 2.7 + -11.5 Combine like terms: 2.7 + -11.5 = -8.8 6t = -8.8 Divide each side by '6'. t = -1.466666667 Simplifying t = -1.466666667
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