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Simplifying 4(-6t + 2) + -7 = -5 + -1t Reorder the terms: 4(2 + -6t) + -7 = -5 + -1t (2 * 4 + -6t * 4) + -7 = -5 + -1t (8 + -24t) + -7 = -5 + -1t Reorder the terms: 8 + -7 + -24t = -5 + -1t Combine like terms: 8 + -7 = 1 1 + -24t = -5 + -1t Solving 1 + -24t = -5 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 1 + -24t + t = -5 + -1t + t Combine like terms: -24t + t = -23t 1 + -23t = -5 + -1t + t Combine like terms: -1t + t = 0 1 + -23t = -5 + 0 1 + -23t = -5 Add '-1' to each side of the equation. 1 + -1 + -23t = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -23t = -5 + -1 -23t = -5 + -1 Combine like terms: -5 + -1 = -6 -23t = -6 Divide each side by '-23'. t = 0.2608695652 Simplifying t = 0.2608695652
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