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Simplifying 5 + -1(t + 3) = -1 + 29(t + -3) Reorder the terms: 5 + -1(3 + t) = -1 + 29(t + -3) 5 + (3 * -1 + t * -1) = -1 + 29(t + -3) 5 + (-3 + -1t) = -1 + 29(t + -3) Combine like terms: 5 + -3 = 2 2 + -1t = -1 + 29(t + -3) Reorder the terms: 2 + -1t = -1 + 29(-3 + t) 2 + -1t = -1 + (-3 * 29 + t * 29) 2 + -1t = -1 + (-87 + 29t) Combine like terms: -1 + -87 = -88 2 + -1t = -88 + 29t Solving 2 + -1t = -88 + 29t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-29t' to each side of the equation. 2 + -1t + -29t = -88 + 29t + -29t Combine like terms: -1t + -29t = -30t 2 + -30t = -88 + 29t + -29t Combine like terms: 29t + -29t = 0 2 + -30t = -88 + 0 2 + -30t = -88 Add '-2' to each side of the equation. 2 + -2 + -30t = -88 + -2 Combine like terms: 2 + -2 = 0 0 + -30t = -88 + -2 -30t = -88 + -2 Combine like terms: -88 + -2 = -90 -30t = -90 Divide each side by '-30'. t = 3 Simplifying t = 3
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