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Simplifying -1.8t + -21 = 5.7t + -6 Reorder the terms: -21 + -1.8t = 5.7t + -6 Reorder the terms: -21 + -1.8t = -6 + 5.7t Solving -21 + -1.8t = -6 + 5.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.7t' to each side of the equation. -21 + -1.8t + -5.7t = -6 + 5.7t + -5.7t Combine like terms: -1.8t + -5.7t = -7.5t -21 + -7.5t = -6 + 5.7t + -5.7t Combine like terms: 5.7t + -5.7t = 0.0 -21 + -7.5t = -6 + 0.0 -21 + -7.5t = -6 Add '21' to each side of the equation. -21 + 21 + -7.5t = -6 + 21 Combine like terms: -21 + 21 = 0 0 + -7.5t = -6 + 21 -7.5t = -6 + 21 Combine like terms: -6 + 21 = 15 -7.5t = 15 Divide each side by '-7.5'. t = -2 Simplifying t = -2
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