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Simplifying 7(5t + -1) + -18t = 12t + -1(3 + -1t) Reorder the terms: 7(-1 + 5t) + -18t = 12t + -1(3 + -1t) (-1 * 7 + 5t * 7) + -18t = 12t + -1(3 + -1t) (-7 + 35t) + -18t = 12t + -1(3 + -1t) Combine like terms: 35t + -18t = 17t -7 + 17t = 12t + -1(3 + -1t) -7 + 17t = 12t + (3 * -1 + -1t * -1) -7 + 17t = 12t + (-3 + 1t) Reorder the terms: -7 + 17t = -3 + 12t + 1t Combine like terms: 12t + 1t = 13t -7 + 17t = -3 + 13t Solving -7 + 17t = -3 + 13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13t' to each side of the equation. -7 + 17t + -13t = -3 + 13t + -13t Combine like terms: 17t + -13t = 4t -7 + 4t = -3 + 13t + -13t Combine like terms: 13t + -13t = 0 -7 + 4t = -3 + 0 -7 + 4t = -3 Add '7' to each side of the equation. -7 + 7 + 4t = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 4t = -3 + 7 4t = -3 + 7 Combine like terms: -3 + 7 = 4 4t = 4 Divide each side by '4'. t = 1 Simplifying t = 1
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