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Simplifying 6.1t + 3 = 2.6t + -4 Reorder the terms: 3 + 6.1t = 2.6t + -4 Reorder the terms: 3 + 6.1t = -4 + 2.6t Solving 3 + 6.1t = -4 + 2.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.6t' to each side of the equation. 3 + 6.1t + -2.6t = -4 + 2.6t + -2.6t Combine like terms: 6.1t + -2.6t = 3.5t 3 + 3.5t = -4 + 2.6t + -2.6t Combine like terms: 2.6t + -2.6t = 0.0 3 + 3.5t = -4 + 0.0 3 + 3.5t = -4 Add '-3' to each side of the equation. 3 + -3 + 3.5t = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 3.5t = -4 + -3 3.5t = -4 + -3 Combine like terms: -4 + -3 = -7 3.5t = -7 Divide each side by '3.5'. t = -2 Simplifying t = -2
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