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Simplifying 7(t + -3) + 5t = (2t + 2) + -8 Reorder the terms: 7(-3 + t) + 5t = (2t + 2) + -8 (-3 * 7 + t * 7) + 5t = (2t + 2) + -8 (-21 + 7t) + 5t = (2t + 2) + -8 Combine like terms: 7t + 5t = 12t -21 + 12t = (2t + 2) + -8 Reorder the terms: -21 + 12t = (2 + 2t) + -8 Remove parenthesis around (2 + 2t) -21 + 12t = 2 + 2t + -8 Reorder the terms: -21 + 12t = 2 + -8 + 2t Combine like terms: 2 + -8 = -6 -21 + 12t = -6 + 2t Solving -21 + 12t = -6 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -21 + 12t + -2t = -6 + 2t + -2t Combine like terms: 12t + -2t = 10t -21 + 10t = -6 + 2t + -2t Combine like terms: 2t + -2t = 0 -21 + 10t = -6 + 0 -21 + 10t = -6 Add '21' to each side of the equation. -21 + 21 + 10t = -6 + 21 Combine like terms: -21 + 21 = 0 0 + 10t = -6 + 21 10t = -6 + 21 Combine like terms: -6 + 21 = 15 10t = 15 Divide each side by '10'. t = 1.5 Simplifying t = 1.5
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