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Simplifying 0.3(2.5t + -0.5) = 0.6(1.5 + 0.3) Reorder the terms: 0.3(-0.5 + 2.5t) = 0.6(1.5 + 0.3) (-0.5 * 0.3 + 2.5t * 0.3) = 0.6(1.5 + 0.3) (-0.15 + 0.75t) = 0.6(1.5 + 0.3) Combine like terms: 1.5 + 0.3 = 1.8 -0.15 + 0.75t = 0.6(1.8) Multiply 0.6 * 1.8 -0.15 + 0.75t = 1.08 Solving -0.15 + 0.75t = 1.08 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.15' to each side of the equation. -0.15 + 0.15 + 0.75t = 1.08 + 0.15 Combine like terms: -0.15 + 0.15 = 0.00 0.00 + 0.75t = 1.08 + 0.15 0.75t = 1.08 + 0.15 Combine like terms: 1.08 + 0.15 = 1.23 0.75t = 1.23 Divide each side by '0.75'. t = 1.64 Simplifying t = 1.64
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