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Simplifying 2(6t + 1) + -15 = t + -1(t + 12) Reorder the terms: 2(1 + 6t) + -15 = t + -1(t + 12) (1 * 2 + 6t * 2) + -15 = t + -1(t + 12) (2 + 12t) + -15 = t + -1(t + 12) Reorder the terms: 2 + -15 + 12t = t + -1(t + 12) Combine like terms: 2 + -15 = -13 -13 + 12t = t + -1(t + 12) Reorder the terms: -13 + 12t = t + -1(12 + t) -13 + 12t = t + (12 * -1 + t * -1) -13 + 12t = t + (-12 + -1t) Reorder the terms: -13 + 12t = -12 + t + -1t Combine like terms: t + -1t = 0 -13 + 12t = -12 + 0 -13 + 12t = -12 Solving -13 + 12t = -12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 12t = -12 + 13 Combine like terms: -13 + 13 = 0 0 + 12t = -12 + 13 12t = -12 + 13 Combine like terms: -12 + 13 = 1 12t = 1 Divide each side by '12'. t = 0.08333333333 Simplifying t = 0.08333333333
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