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Simplifying -16.73 + 12.7t = 19.54 + 16.6t + 7.8t Combine like terms: 16.6t + 7.8t = 24.4t -16.73 + 12.7t = 19.54 + 24.4t Solving -16.73 + 12.7t = 19.54 + 24.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24.4t' to each side of the equation. -16.73 + 12.7t + -24.4t = 19.54 + 24.4t + -24.4t Combine like terms: 12.7t + -24.4t = -11.7t -16.73 + -11.7t = 19.54 + 24.4t + -24.4t Combine like terms: 24.4t + -24.4t = 0.0 -16.73 + -11.7t = 19.54 + 0.0 -16.73 + -11.7t = 19.54 Add '16.73' to each side of the equation. -16.73 + 16.73 + -11.7t = 19.54 + 16.73 Combine like terms: -16.73 + 16.73 = 0.00 0.00 + -11.7t = 19.54 + 16.73 -11.7t = 19.54 + 16.73 Combine like terms: 19.54 + 16.73 = 36.27 -11.7t = 36.27 Divide each side by '-11.7'. t = -3.1 Simplifying t = -3.1
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