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Simplifying 16(t + -6) + 5t = (3t + 3) + -13 Reorder the terms: 16(-6 + t) + 5t = (3t + 3) + -13 (-6 * 16 + t * 16) + 5t = (3t + 3) + -13 (-96 + 16t) + 5t = (3t + 3) + -13 Combine like terms: 16t + 5t = 21t -96 + 21t = (3t + 3) + -13 Reorder the terms: -96 + 21t = (3 + 3t) + -13 Remove parenthesis around (3 + 3t) -96 + 21t = 3 + 3t + -13 Reorder the terms: -96 + 21t = 3 + -13 + 3t Combine like terms: 3 + -13 = -10 -96 + 21t = -10 + 3t Solving -96 + 21t = -10 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -96 + 21t + -3t = -10 + 3t + -3t Combine like terms: 21t + -3t = 18t -96 + 18t = -10 + 3t + -3t Combine like terms: 3t + -3t = 0 -96 + 18t = -10 + 0 -96 + 18t = -10 Add '96' to each side of the equation. -96 + 96 + 18t = -10 + 96 Combine like terms: -96 + 96 = 0 0 + 18t = -10 + 96 18t = -10 + 96 Combine like terms: -10 + 96 = 86 18t = 86 Divide each side by '18'. t = 4.777777778 Simplifying t = 4.777777778
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