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Simplifying -19.41 + 5.1t = 14.46 + 12.67 + 7.7t Combine like terms: 14.46 + 12.67 = 27.13 -19.41 + 5.1t = 27.13 + 7.7t Solving -19.41 + 5.1t = 27.13 + 7.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7.7t' to each side of the equation. -19.41 + 5.1t + -7.7t = 27.13 + 7.7t + -7.7t Combine like terms: 5.1t + -7.7t = -2.6t -19.41 + -2.6t = 27.13 + 7.7t + -7.7t Combine like terms: 7.7t + -7.7t = 0.0 -19.41 + -2.6t = 27.13 + 0.0 -19.41 + -2.6t = 27.13 Add '19.41' to each side of the equation. -19.41 + 19.41 + -2.6t = 27.13 + 19.41 Combine like terms: -19.41 + 19.41 = 0.00 0.00 + -2.6t = 27.13 + 19.41 -2.6t = 27.13 + 19.41 Combine like terms: 27.13 + 19.41 = 46.54 -2.6t = 46.54 Divide each side by '-2.6'. t = -17.9 Simplifying t = -17.9
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