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Simplifying 6(-0.8t + -0.6) = -2.3t + -2.75 Reorder the terms: 6(-0.6 + -0.8t) = -2.3t + -2.75 (-0.6 * 6 + -0.8t * 6) = -2.3t + -2.75 (-3.6 + -4.8t) = -2.3t + -2.75 Reorder the terms: -3.6 + -4.8t = -2.75 + -2.3t Solving -3.6 + -4.8t = -2.75 + -2.3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.3t' to each side of the equation. -3.6 + -4.8t + 2.3t = -2.75 + -2.3t + 2.3t Combine like terms: -4.8t + 2.3t = -2.5t -3.6 + -2.5t = -2.75 + -2.3t + 2.3t Combine like terms: -2.3t + 2.3t = 0.0 -3.6 + -2.5t = -2.75 + 0.0 -3.6 + -2.5t = -2.75 Add '3.6' to each side of the equation. -3.6 + 3.6 + -2.5t = -2.75 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + -2.5t = -2.75 + 3.6 -2.5t = -2.75 + 3.6 Combine like terms: -2.75 + 3.6 = 0.85 -2.5t = 0.85 Divide each side by '-2.5'. t = -0.34 Simplifying t = -0.34
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