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Simplifying 3t + (-4) = 4(t + 6) 3t + -4 = 4(t + 6) Reorder the terms: -4 + 3t = 4(t + 6) Reorder the terms: -4 + 3t = 4(6 + t) -4 + 3t = (6 * 4 + t * 4) -4 + 3t = (24 + 4t) Solving -4 + 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. -4 + 3t + -4t = 24 + 4t + -4t Combine like terms: 3t + -4t = -1t -4 + -1t = 24 + 4t + -4t Combine like terms: 4t + -4t = 0 -4 + -1t = 24 + 0 -4 + -1t = 24 Add '4' to each side of the equation. -4 + 4 + -1t = 24 + 4 Combine like terms: -4 + 4 = 0 0 + -1t = 24 + 4 -1t = 24 + 4 Combine like terms: 24 + 4 = 28 -1t = 28 Divide each side by '-1'. t = -28 Simplifying t = -28
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