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Simplifying 4(6t + -2) + -7(12t + -4) = -260 Reorder the terms: 4(-2 + 6t) + -7(12t + -4) = -260 (-2 * 4 + 6t * 4) + -7(12t + -4) = -260 (-8 + 24t) + -7(12t + -4) = -260 Reorder the terms: -8 + 24t + -7(-4 + 12t) = -260 -8 + 24t + (-4 * -7 + 12t * -7) = -260 -8 + 24t + (28 + -84t) = -260 Reorder the terms: -8 + 28 + 24t + -84t = -260 Combine like terms: -8 + 28 = 20 20 + 24t + -84t = -260 Combine like terms: 24t + -84t = -60t 20 + -60t = -260 Solving 20 + -60t = -260 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -60t = -260 + -20 Combine like terms: 20 + -20 = 0 0 + -60t = -260 + -20 -60t = -260 + -20 Combine like terms: -260 + -20 = -280 -60t = -280 Divide each side by '-60'. t = 4.666666667 Simplifying t = 4.666666667
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