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Simplifying 7(4t + -3) = -29(5 + -1t) Reorder the terms: 7(-3 + 4t) = -29(5 + -1t) (-3 * 7 + 4t * 7) = -29(5 + -1t) (-21 + 28t) = -29(5 + -1t) -21 + 28t = (5 * -29 + -1t * -29) -21 + 28t = (-145 + 29t) Solving -21 + 28t = -145 + 29t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-29t' to each side of the equation. -21 + 28t + -29t = -145 + 29t + -29t Combine like terms: 28t + -29t = -1t -21 + -1t = -145 + 29t + -29t Combine like terms: 29t + -29t = 0 -21 + -1t = -145 + 0 -21 + -1t = -145 Add '21' to each side of the equation. -21 + 21 + -1t = -145 + 21 Combine like terms: -21 + 21 = 0 0 + -1t = -145 + 21 -1t = -145 + 21 Combine like terms: -145 + 21 = -124 -1t = -124 Divide each side by '-1'. t = 124 Simplifying t = 124
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