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Simplifying -7.1t + 8.3t + -12.95 = 0.5t + -18.55 Reorder the terms: -12.95 + -7.1t + 8.3t = 0.5t + -18.55 Combine like terms: -7.1t + 8.3t = 1.2t -12.95 + 1.2t = 0.5t + -18.55 Reorder the terms: -12.95 + 1.2t = -18.55 + 0.5t Solving -12.95 + 1.2t = -18.55 + 0.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5t' to each side of the equation. -12.95 + 1.2t + -0.5t = -18.55 + 0.5t + -0.5t Combine like terms: 1.2t + -0.5t = 0.7t -12.95 + 0.7t = -18.55 + 0.5t + -0.5t Combine like terms: 0.5t + -0.5t = 0.0 -12.95 + 0.7t = -18.55 + 0.0 -12.95 + 0.7t = -18.55 Add '12.95' to each side of the equation. -12.95 + 12.95 + 0.7t = -18.55 + 12.95 Combine like terms: -12.95 + 12.95 = 0.00 0.00 + 0.7t = -18.55 + 12.95 0.7t = -18.55 + 12.95 Combine like terms: -18.55 + 12.95 = -5.6 0.7t = -5.6 Divide each side by '0.7'. t = -8 Simplifying t = -8
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