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Simplifying 7(t + -4) + -6t = 10 Reorder the terms: 7(-4 + t) + -6t = 10 (-4 * 7 + t * 7) + -6t = 10 (-28 + 7t) + -6t = 10 Combine like terms: 7t + -6t = 1t -28 + 1t = 10 Solving -28 + 1t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 1t = 10 + 28 Combine like terms: -28 + 28 = 0 0 + 1t = 10 + 28 1t = 10 + 28 Combine like terms: 10 + 28 = 38 1t = 38 Divide each side by '1'. t = 38 Simplifying t = 38
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