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Simplifying 2 + -16t = 6(3t + -2) Reorder the terms: 2 + -16t = 6(-2 + 3t) 2 + -16t = (-2 * 6 + 3t * 6) 2 + -16t = (-12 + 18t) Solving 2 + -16t = -12 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. 2 + -16t + -18t = -12 + 18t + -18t Combine like terms: -16t + -18t = -34t 2 + -34t = -12 + 18t + -18t Combine like terms: 18t + -18t = 0 2 + -34t = -12 + 0 2 + -34t = -12 Add '-2' to each side of the equation. 2 + -2 + -34t = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -34t = -12 + -2 -34t = -12 + -2 Combine like terms: -12 + -2 = -14 -34t = -14 Divide each side by '-34'. t = 0.4117647059 Simplifying t = 0.4117647059
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