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Simplifying 7(5t + -4) = 12(12t + -3) Reorder the terms: 7(-4 + 5t) = 12(12t + -3) (-4 * 7 + 5t * 7) = 12(12t + -3) (-28 + 35t) = 12(12t + -3) Reorder the terms: -28 + 35t = 12(-3 + 12t) -28 + 35t = (-3 * 12 + 12t * 12) -28 + 35t = (-36 + 144t) Solving -28 + 35t = -36 + 144t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-144t' to each side of the equation. -28 + 35t + -144t = -36 + 144t + -144t Combine like terms: 35t + -144t = -109t -28 + -109t = -36 + 144t + -144t Combine like terms: 144t + -144t = 0 -28 + -109t = -36 + 0 -28 + -109t = -36 Add '28' to each side of the equation. -28 + 28 + -109t = -36 + 28 Combine like terms: -28 + 28 = 0 0 + -109t = -36 + 28 -109t = -36 + 28 Combine like terms: -36 + 28 = -8 -109t = -8 Divide each side by '-109'. t = 0.07339449541 Simplifying t = 0.07339449541
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