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Simplifying -46 + -1(t + -9) = 42 Reorder the terms: -46 + -1(-9 + t) = 42 -46 + (-9 * -1 + t * -1) = 42 -46 + (9 + -1t) = 42 Combine like terms: -46 + 9 = -37 -37 + -1t = 42 Solving -37 + -1t = 42 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -1t = 42 + 37 Combine like terms: -37 + 37 = 0 0 + -1t = 42 + 37 -1t = 42 + 37 Combine like terms: 42 + 37 = 79 -1t = 79 Divide each side by '-1'. t = -79 Simplifying t = -79
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