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Simplifying 4t + 16 = 5t + -21 Reorder the terms: 16 + 4t = 5t + -21 Reorder the terms: 16 + 4t = -21 + 5t Solving 16 + 4t = -21 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 16 + 4t + -5t = -21 + 5t + -5t Combine like terms: 4t + -5t = -1t 16 + -1t = -21 + 5t + -5t Combine like terms: 5t + -5t = 0 16 + -1t = -21 + 0 16 + -1t = -21 Add '-16' to each side of the equation. 16 + -16 + -1t = -21 + -16 Combine like terms: 16 + -16 = 0 0 + -1t = -21 + -16 -1t = -21 + -16 Combine like terms: -21 + -16 = -37 -1t = -37 Divide each side by '-1'. t = 37 Simplifying t = 37
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