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Simplifying -1t + -12(12 + -2t) = -1t + 8(t + 4) -1t + (12 * -12 + -2t * -12) = -1t + 8(t + 4) -1t + (-144 + 24t) = -1t + 8(t + 4) Reorder the terms: -144 + -1t + 24t = -1t + 8(t + 4) Combine like terms: -1t + 24t = 23t -144 + 23t = -1t + 8(t + 4) Reorder the terms: -144 + 23t = -1t + 8(4 + t) -144 + 23t = -1t + (4 * 8 + t * 8) -144 + 23t = -1t + (32 + 8t) Reorder the terms: -144 + 23t = 32 + -1t + 8t Combine like terms: -1t + 8t = 7t -144 + 23t = 32 + 7t Solving -144 + 23t = 32 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -144 + 23t + -7t = 32 + 7t + -7t Combine like terms: 23t + -7t = 16t -144 + 16t = 32 + 7t + -7t Combine like terms: 7t + -7t = 0 -144 + 16t = 32 + 0 -144 + 16t = 32 Add '144' to each side of the equation. -144 + 144 + 16t = 32 + 144 Combine like terms: -144 + 144 = 0 0 + 16t = 32 + 144 16t = 32 + 144 Combine like terms: 32 + 144 = 176 16t = 176 Divide each side by '16'. t = 11 Simplifying t = 11
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