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Simplifying 4(t + -7) + 6 = 38 Reorder the terms: 4(-7 + t) + 6 = 38 (-7 * 4 + t * 4) + 6 = 38 (-28 + 4t) + 6 = 38 Reorder the terms: -28 + 6 + 4t = 38 Combine like terms: -28 + 6 = -22 -22 + 4t = 38 Solving -22 + 4t = 38 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 4t = 38 + 22 Combine like terms: -22 + 22 = 0 0 + 4t = 38 + 22 4t = 38 + 22 Combine like terms: 38 + 22 = 60 4t = 60 Divide each side by '4'. t = 15 Simplifying t = 15
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