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Simplifying 4t + 8 + -6(2 + 1) = 3(4t + -3) + -7(t + -2) Combine like terms: 2 + 1 = 3 4t + 8 + -6(3) = 3(4t + -3) + -7(t + -2) Multiply -6 * 3 4t + 8 + -18 = 3(4t + -3) + -7(t + -2) Reorder the terms: 8 + -18 + 4t = 3(4t + -3) + -7(t + -2) Combine like terms: 8 + -18 = -10 -10 + 4t = 3(4t + -3) + -7(t + -2) Reorder the terms: -10 + 4t = 3(-3 + 4t) + -7(t + -2) -10 + 4t = (-3 * 3 + 4t * 3) + -7(t + -2) -10 + 4t = (-9 + 12t) + -7(t + -2) Reorder the terms: -10 + 4t = -9 + 12t + -7(-2 + t) -10 + 4t = -9 + 12t + (-2 * -7 + t * -7) -10 + 4t = -9 + 12t + (14 + -7t) Reorder the terms: -10 + 4t = -9 + 14 + 12t + -7t Combine like terms: -9 + 14 = 5 -10 + 4t = 5 + 12t + -7t Combine like terms: 12t + -7t = 5t -10 + 4t = 5 + 5t Solving -10 + 4t = 5 + 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. -10 + 4t + -5t = 5 + 5t + -5t Combine like terms: 4t + -5t = -1t -10 + -1t = 5 + 5t + -5t Combine like terms: 5t + -5t = 0 -10 + -1t = 5 + 0 -10 + -1t = 5 Add '10' to each side of the equation. -10 + 10 + -1t = 5 + 10 Combine like terms: -10 + 10 = 0 0 + -1t = 5 + 10 -1t = 5 + 10 Combine like terms: 5 + 10 = 15 -1t = 15 Divide each side by '-1'. t = -15 Simplifying t = -15
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