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Simplifying t + 3t(8 + 7) + -6(t + -2) = 0 Combine like terms: 8 + 7 = 15 t + 3t(15) + -6(t + -2) = 0 Reorder the terms for easier multiplication: t + 3 * 15t + -6(t + -2) = 0 Multiply 3 * 15 t + 45t + -6(t + -2) = 0 Reorder the terms: t + 45t + -6(-2 + t) = 0 t + 45t + (-2 * -6 + t * -6) = 0 t + 45t + (12 + -6t) = 0 Reorder the terms: 12 + t + 45t + -6t = 0 Combine like terms: t + 45t = 46t 12 + 46t + -6t = 0 Combine like terms: 46t + -6t = 40t 12 + 40t = 0 Solving 12 + 40t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 40t = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 40t = 0 + -12 40t = 0 + -12 Combine like terms: 0 + -12 = -12 40t = -12 Divide each side by '40'. t = -0.3 Simplifying t = -0.3
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