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Simplifying 0.06(2 + -6) = 0.12(t + 5) + -0.96 Combine like terms: 2 + -6 = -4 0.06(-4) = 0.12(t + 5) + -0.96 Multiply 0.06 * -4 -0.24 = 0.12(t + 5) + -0.96 Reorder the terms: -0.24 = 0.12(5 + t) + -0.96 -0.24 = (5 * 0.12 + t * 0.12) + -0.96 -0.24 = (0.6 + 0.12t) + -0.96 Reorder the terms: -0.24 = 0.6 + -0.96 + 0.12t Combine like terms: 0.6 + -0.96 = -0.36 -0.24 = -0.36 + 0.12t Solving -0.24 = -0.36 + 0.12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.12t' to each side of the equation. -0.24 + -0.12t = -0.36 + 0.12t + -0.12t Combine like terms: 0.12t + -0.12t = 0.00 -0.24 + -0.12t = -0.36 + 0.00 -0.24 + -0.12t = -0.36 Add '0.24' to each side of the equation. -0.24 + 0.24 + -0.12t = -0.36 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + -0.12t = -0.36 + 0.24 -0.12t = -0.36 + 0.24 Combine like terms: -0.36 + 0.24 = -0.12 -0.12t = -0.12 Divide each side by '-0.12'. t = 1 Simplifying t = 1
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