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Simplifying -10.7t + -5.8t + -17.23 = -2.53 + -14.4t Reorder the terms: -17.23 + -10.7t + -5.8t = -2.53 + -14.4t Combine like terms: -10.7t + -5.8t = -16.5t -17.23 + -16.5t = -2.53 + -14.4t Solving -17.23 + -16.5t = -2.53 + -14.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14.4t' to each side of the equation. -17.23 + -16.5t + 14.4t = -2.53 + -14.4t + 14.4t Combine like terms: -16.5t + 14.4t = -2.1t -17.23 + -2.1t = -2.53 + -14.4t + 14.4t Combine like terms: -14.4t + 14.4t = 0.0 -17.23 + -2.1t = -2.53 + 0.0 -17.23 + -2.1t = -2.53 Add '17.23' to each side of the equation. -17.23 + 17.23 + -2.1t = -2.53 + 17.23 Combine like terms: -17.23 + 17.23 = 0.00 0.00 + -2.1t = -2.53 + 17.23 -2.1t = -2.53 + 17.23 Combine like terms: -2.53 + 17.23 = 14.7 -2.1t = 14.7 Divide each side by '-2.1'. t = -7 Simplifying t = -7
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