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Simplifying 4(2t + -5) = 3(3t + -7) Reorder the terms: 4(-5 + 2t) = 3(3t + -7) (-5 * 4 + 2t * 4) = 3(3t + -7) (-20 + 8t) = 3(3t + -7) Reorder the terms: -20 + 8t = 3(-7 + 3t) -20 + 8t = (-7 * 3 + 3t * 3) -20 + 8t = (-21 + 9t) Solving -20 + 8t = -21 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -20 + 8t + -9t = -21 + 9t + -9t Combine like terms: 8t + -9t = -1t -20 + -1t = -21 + 9t + -9t Combine like terms: 9t + -9t = 0 -20 + -1t = -21 + 0 -20 + -1t = -21 Add '20' to each side of the equation. -20 + 20 + -1t = -21 + 20 Combine like terms: -20 + 20 = 0 0 + -1t = -21 + 20 -1t = -21 + 20 Combine like terms: -21 + 20 = -1 -1t = -1 Divide each side by '-1'. t = 1 Simplifying t = 1
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