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Simplifying 6 + -12 + 4t + -1 = -1t + -7t + 12 + -3t + 5 Reorder the terms: 6 + -12 + -1 + 4t = -1t + -7t + 12 + -3t + 5 Combine like terms: 6 + -12 = -6 -6 + -1 + 4t = -1t + -7t + 12 + -3t + 5 Combine like terms: -6 + -1 = -7 -7 + 4t = -1t + -7t + 12 + -3t + 5 Reorder the terms: -7 + 4t = 12 + 5 + -1t + -7t + -3t Combine like terms: 12 + 5 = 17 -7 + 4t = 17 + -1t + -7t + -3t Combine like terms: -1t + -7t = -8t -7 + 4t = 17 + -8t + -3t Combine like terms: -8t + -3t = -11t -7 + 4t = 17 + -11t Solving -7 + 4t = 17 + -11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '11t' to each side of the equation. -7 + 4t + 11t = 17 + -11t + 11t Combine like terms: 4t + 11t = 15t -7 + 15t = 17 + -11t + 11t Combine like terms: -11t + 11t = 0 -7 + 15t = 17 + 0 -7 + 15t = 17 Add '7' to each side of the equation. -7 + 7 + 15t = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 15t = 17 + 7 15t = 17 + 7 Combine like terms: 17 + 7 = 24 15t = 24 Divide each side by '15'. t = 1.6 Simplifying t = 1.6
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