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Simplifying 3t + -8 = 4(t + 6) Reorder the terms: -8 + 3t = 4(t + 6) Reorder the terms: -8 + 3t = 4(6 + t) -8 + 3t = (6 * 4 + t * 4) -8 + 3t = (24 + 4t) Solving -8 + 3t = 24 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -8 + 3t + -4t = 24 + 4t + -4t Combine like terms: 3t + -4t = -1t -8 + -1t = 24 + 4t + -4t Combine like terms: 4t + -4t = 0 -8 + -1t = 24 + 0 -8 + -1t = 24 Add '8' to each side of the equation. -8 + 8 + -1t = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -1t = 24 + 8 -1t = 24 + 8 Combine like terms: 24 + 8 = 32 -1t = 32 Divide each side by '-1'. t = -32 Simplifying t = -32
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