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Simplifying -6(y + -7) + -1(t + 1) = 9 Reorder the terms: -6(-7 + y) + -1(t + 1) = 9 (-7 * -6 + y * -6) + -1(t + 1) = 9 (42 + -6y) + -1(t + 1) = 9 Reorder the terms: 42 + -6y + -1(1 + t) = 9 42 + -6y + (1 * -1 + t * -1) = 9 42 + -6y + (-1 + -1t) = 9 Reorder the terms: 42 + -1 + -1t + -6y = 9 Combine like terms: 42 + -1 = 41 41 + -1t + -6y = 9 Solving 41 + -1t + -6y = 9 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -1t + -41 + -6y = 9 + -41 Reorder the terms: 41 + -41 + -1t + -6y = 9 + -41 Combine like terms: 41 + -41 = 0 0 + -1t + -6y = 9 + -41 -1t + -6y = 9 + -41 Combine like terms: 9 + -41 = -32 -1t + -6y = -32 Add '6y' to each side of the equation. -1t + -6y + 6y = -32 + 6y Combine like terms: -6y + 6y = 0 -1t + 0 = -32 + 6y -1t = -32 + 6y Divide each side by '-1'. t = 32 + -6y Simplifying t = 32 + -6y
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