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Simplifying 3t + -5 = 4(t + 4) Reorder the terms: -5 + 3t = 4(t + 4) Reorder the terms: -5 + 3t = 4(4 + t) -5 + 3t = (4 * 4 + t * 4) -5 + 3t = (16 + 4t) Solving -5 + 3t = 16 + 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. -5 + 3t + -4t = 16 + 4t + -4t Combine like terms: 3t + -4t = -1t -5 + -1t = 16 + 4t + -4t Combine like terms: 4t + -4t = 0 -5 + -1t = 16 + 0 -5 + -1t = 16 Add '5' to each side of the equation. -5 + 5 + -1t = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -1t = 16 + 5 -1t = 16 + 5 Combine like terms: 16 + 5 = 21 -1t = 21 Divide each side by '-1'. t = -21 Simplifying t = -21
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