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Simplifying 4t + -2 = 7t + -1(t + 3) + (-1t + -6) Reorder the terms: -2 + 4t = 7t + -1(t + 3) + (-1t + -6) Reorder the terms: -2 + 4t = 7t + -1(3 + t) + (-1t + -6) -2 + 4t = 7t + (3 * -1 + t * -1) + (-1t + -6) -2 + 4t = 7t + (-3 + -1t) + (-1t + -6) Reorder the terms: -2 + 4t = 7t + -3 + -1t + (-6 + -1t) Remove parenthesis around (-6 + -1t) -2 + 4t = 7t + -3 + -1t + -6 + -1t Reorder the terms: -2 + 4t = -3 + -6 + 7t + -1t + -1t Combine like terms: -3 + -6 = -9 -2 + 4t = -9 + 7t + -1t + -1t Combine like terms: 7t + -1t = 6t -2 + 4t = -9 + 6t + -1t Combine like terms: 6t + -1t = 5t -2 + 4t = -9 + 5t Solving -2 + 4t = -9 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -2 + 4t + -5t = -9 + 5t + -5t Combine like terms: 4t + -5t = -1t -2 + -1t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 -2 + -1t = -9 + 0 -2 + -1t = -9 Add '2' to each side of the equation. -2 + 2 + -1t = -9 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = -9 + 2 -1t = -9 + 2 Combine like terms: -9 + 2 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7
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