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Simplifying 35(t + 30) = 45t Reorder the terms: 35(30 + t) = 45t (30 * 35 + t * 35) = 45t (1050 + 35t) = 45t Solving 1050 + 35t = 45t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-45t' to each side of the equation. 1050 + 35t + -45t = 45t + -45t Combine like terms: 35t + -45t = -10t 1050 + -10t = 45t + -45t Combine like terms: 45t + -45t = 0 1050 + -10t = 0 Add '-1050' to each side of the equation. 1050 + -1050 + -10t = 0 + -1050 Combine like terms: 1050 + -1050 = 0 0 + -10t = 0 + -1050 -10t = 0 + -1050 Combine like terms: 0 + -1050 = -1050 -10t = -1050 Divide each side by '-10'. t = 105 Simplifying t = 105
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