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Simplifying 0.07(4 + -3) = 0.28(t + 2) + -0.77 Combine like terms: 4 + -3 = 1 0.07(1) = 0.28(t + 2) + -0.77 Multiply 0.07 * 1 0.07 = 0.28(t + 2) + -0.77 Reorder the terms: 0.07 = 0.28(2 + t) + -0.77 0.07 = (2 * 0.28 + t * 0.28) + -0.77 0.07 = (0.56 + 0.28t) + -0.77 Reorder the terms: 0.07 = 0.56 + -0.77 + 0.28t Combine like terms: 0.56 + -0.77 = -0.21 0.07 = -0.21 + 0.28t Solving 0.07 = -0.21 + 0.28t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.28t' to each side of the equation. 0.07 + -0.28t = -0.21 + 0.28t + -0.28t Combine like terms: 0.28t + -0.28t = 0.00 0.07 + -0.28t = -0.21 + 0.00 0.07 + -0.28t = -0.21 Add '-0.07' to each side of the equation. 0.07 + -0.07 + -0.28t = -0.21 + -0.07 Combine like terms: 0.07 + -0.07 = 0.00 0.00 + -0.28t = -0.21 + -0.07 -0.28t = -0.21 + -0.07 Combine like terms: -0.21 + -0.07 = -0.28 -0.28t = -0.28 Divide each side by '-0.28'. t = 1 Simplifying t = 1
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