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Simplifying 4(3t + 1) + -12 = t + -1(t + 7) Reorder the terms: 4(1 + 3t) + -12 = t + -1(t + 7) (1 * 4 + 3t * 4) + -12 = t + -1(t + 7) (4 + 12t) + -12 = t + -1(t + 7) Reorder the terms: 4 + -12 + 12t = t + -1(t + 7) Combine like terms: 4 + -12 = -8 -8 + 12t = t + -1(t + 7) Reorder the terms: -8 + 12t = t + -1(7 + t) -8 + 12t = t + (7 * -1 + t * -1) -8 + 12t = t + (-7 + -1t) Reorder the terms: -8 + 12t = -7 + t + -1t Combine like terms: t + -1t = 0 -8 + 12t = -7 + 0 -8 + 12t = -7 Solving -8 + 12t = -7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 12t = -7 + 8 Combine like terms: -8 + 8 = 0 0 + 12t = -7 + 8 12t = -7 + 8 Combine like terms: -7 + 8 = 1 12t = 1 Divide each side by '12'. t = 0.08333333333 Simplifying t = 0.08333333333
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