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Simplifying 4.6t + -17 = 2.1t + -9.5 Reorder the terms: -17 + 4.6t = 2.1t + -9.5 Reorder the terms: -17 + 4.6t = -9.5 + 2.1t Solving -17 + 4.6t = -9.5 + 2.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.1t' to each side of the equation. -17 + 4.6t + -2.1t = -9.5 + 2.1t + -2.1t Combine like terms: 4.6t + -2.1t = 2.5t -17 + 2.5t = -9.5 + 2.1t + -2.1t Combine like terms: 2.1t + -2.1t = 0.0 -17 + 2.5t = -9.5 + 0.0 -17 + 2.5t = -9.5 Add '17' to each side of the equation. -17 + 17 + 2.5t = -9.5 + 17 Combine like terms: -17 + 17 = 0 0 + 2.5t = -9.5 + 17 2.5t = -9.5 + 17 Combine like terms: -9.5 + 17 = 7.5 2.5t = 7.5 Divide each side by '2.5'. t = 3 Simplifying t = 3
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