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Simplifying 3(t + 5t) + -5 = 9(6t + 2) + -35 Combine like terms: t + 5t = 6t 3(6t) + -5 = 9(6t + 2) + -35 Remove parenthesis around (6t) 3 * 6t + -5 = 9(6t + 2) + -35 Multiply 3 * 6 18t + -5 = 9(6t + 2) + -35 Reorder the terms: -5 + 18t = 9(6t + 2) + -35 Reorder the terms: -5 + 18t = 9(2 + 6t) + -35 -5 + 18t = (2 * 9 + 6t * 9) + -35 -5 + 18t = (18 + 54t) + -35 Reorder the terms: -5 + 18t = 18 + -35 + 54t Combine like terms: 18 + -35 = -17 -5 + 18t = -17 + 54t Solving -5 + 18t = -17 + 54t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-54t' to each side of the equation. -5 + 18t + -54t = -17 + 54t + -54t Combine like terms: 18t + -54t = -36t -5 + -36t = -17 + 54t + -54t Combine like terms: 54t + -54t = 0 -5 + -36t = -17 + 0 -5 + -36t = -17 Add '5' to each side of the equation. -5 + 5 + -36t = -17 + 5 Combine like terms: -5 + 5 = 0 0 + -36t = -17 + 5 -36t = -17 + 5 Combine like terms: -17 + 5 = -12 -36t = -12 Divide each side by '-36'. t = 0.3333333333 Simplifying t = 0.3333333333
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