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Simplifying 7(4 + -1t) + 3(t + -5) = 9t (4 * 7 + -1t * 7) + 3(t + -5) = 9t (28 + -7t) + 3(t + -5) = 9t Reorder the terms: 28 + -7t + 3(-5 + t) = 9t 28 + -7t + (-5 * 3 + t * 3) = 9t 28 + -7t + (-15 + 3t) = 9t Reorder the terms: 28 + -15 + -7t + 3t = 9t Combine like terms: 28 + -15 = 13 13 + -7t + 3t = 9t Combine like terms: -7t + 3t = -4t 13 + -4t = 9t Solving 13 + -4t = 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 13 + -4t + -9t = 9t + -9t Combine like terms: -4t + -9t = -13t 13 + -13t = 9t + -9t Combine like terms: 9t + -9t = 0 13 + -13t = 0 Add '-13' to each side of the equation. 13 + -13 + -13t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -13t = 0 + -13 -13t = 0 + -13 Combine like terms: 0 + -13 = -13 -13t = -13 Divide each side by '-13'. t = 1 Simplifying t = 1
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