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Simplifying 3t + -12(3 + t) = 7(9 + -5y) + -6(8 + -4y) 3t + (3 * -12 + t * -12) = 7(9 + -5y) + -6(8 + -4y) 3t + (-36 + -12t) = 7(9 + -5y) + -6(8 + -4y) Reorder the terms: -36 + 3t + -12t = 7(9 + -5y) + -6(8 + -4y) Combine like terms: 3t + -12t = -9t -36 + -9t = 7(9 + -5y) + -6(8 + -4y) -36 + -9t = (9 * 7 + -5y * 7) + -6(8 + -4y) -36 + -9t = (63 + -35y) + -6(8 + -4y) -36 + -9t = 63 + -35y + (8 * -6 + -4y * -6) -36 + -9t = 63 + -35y + (-48 + 24y) Reorder the terms: -36 + -9t = 63 + -48 + -35y + 24y Combine like terms: 63 + -48 = 15 -36 + -9t = 15 + -35y + 24y Combine like terms: -35y + 24y = -11y -36 + -9t = 15 + -11y Solving -36 + -9t = 15 + -11y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -9t = 15 + 36 + -11y Combine like terms: -36 + 36 = 0 0 + -9t = 15 + 36 + -11y -9t = 15 + 36 + -11y Combine like terms: 15 + 36 = 51 -9t = 51 + -11y Divide each side by '-9'. t = -5.666666667 + 1.222222222y Simplifying t = -5.666666667 + 1.222222222y
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