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Simplifying 4(-6t + 2) = -1(-5 + -1t) + -7t Reorder the terms: 4(2 + -6t) = -1(-5 + -1t) + -7t (2 * 4 + -6t * 4) = -1(-5 + -1t) + -7t (8 + -24t) = -1(-5 + -1t) + -7t 8 + -24t = (-5 * -1 + -1t * -1) + -7t 8 + -24t = (5 + 1t) + -7t Combine like terms: 1t + -7t = -6t 8 + -24t = 5 + -6t Solving 8 + -24t = 5 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. 8 + -24t + 6t = 5 + -6t + 6t Combine like terms: -24t + 6t = -18t 8 + -18t = 5 + -6t + 6t Combine like terms: -6t + 6t = 0 8 + -18t = 5 + 0 8 + -18t = 5 Add '-8' to each side of the equation. 8 + -8 + -18t = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -18t = 5 + -8 -18t = 5 + -8 Combine like terms: 5 + -8 = -3 -18t = -3 Divide each side by '-18'. t = 0.1666666667 Simplifying t = 0.1666666667
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