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Simplifying 3(4t + 1) + -7 = t + -1(t + 3) Reorder the terms: 3(1 + 4t) + -7 = t + -1(t + 3) (1 * 3 + 4t * 3) + -7 = t + -1(t + 3) (3 + 12t) + -7 = t + -1(t + 3) Reorder the terms: 3 + -7 + 12t = t + -1(t + 3) Combine like terms: 3 + -7 = -4 -4 + 12t = t + -1(t + 3) Reorder the terms: -4 + 12t = t + -1(3 + t) -4 + 12t = t + (3 * -1 + t * -1) -4 + 12t = t + (-3 + -1t) Reorder the terms: -4 + 12t = -3 + t + -1t Combine like terms: t + -1t = 0 -4 + 12t = -3 + 0 -4 + 12t = -3 Solving -4 + 12t = -3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 12t = -3 + 4 Combine like terms: -4 + 4 = 0 0 + 12t = -3 + 4 12t = -3 + 4 Combine like terms: -3 + 4 = 1 12t = 1 Divide each side by '12'. t = 0.08333333333 Simplifying t = 0.08333333333
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