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Simplifying 0.3(t + -3) = 0.4t Reorder the terms: 0.3(-3 + t) = 0.4t (-3 * 0.3 + t * 0.3) = 0.4t (-0.9 + 0.3t) = 0.4t Solving -0.9 + 0.3t = 0.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.4t' to each side of the equation. -0.9 + 0.3t + -0.4t = 0.4t + -0.4t Combine like terms: 0.3t + -0.4t = -0.1t -0.9 + -0.1t = 0.4t + -0.4t Combine like terms: 0.4t + -0.4t = 0.0 -0.9 + -0.1t = 0.0 Add '0.9' to each side of the equation. -0.9 + 0.9 + -0.1t = 0.0 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -0.1t = 0.0 + 0.9 -0.1t = 0.0 + 0.9 Combine like terms: 0.0 + 0.9 = 0.9 -0.1t = 0.9 Divide each side by '-0.1'. t = -9 Simplifying t = -9
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