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Simplifying 2 + 16t = 6(-3t + 4) Reorder the terms: 2 + 16t = 6(4 + -3t) 2 + 16t = (4 * 6 + -3t * 6) 2 + 16t = (24 + -18t) Solving 2 + 16t = 24 + -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 = 24 + -18t + 18t Combine like terms: 16t + 18t = 34t 2 + 34t = 24 + -18t + 18t Combine like terms: -18t + 18t = 0 2 + 34t = 24 + 0 2 + 34t = 24 Add '-2' to each side of the equation. 2 + -2 + 34t = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 34t = 24 + -2 34t = 24 + -2 Combine like terms: 24 + -2 = 22 34t = 22 Divide each side by '34'. t = 0.6470588235 Simplifying t = 0.6470588235
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