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Simplifying 7(t + -2) = t + 10 Reorder the terms: 7(-2 + t) = t + 10 (-2 * 7 + t * 7) = t + 10 (-14 + 7t) = t + 10 Reorder the terms: -14 + 7t = 10 + t Solving -14 + 7t = 10 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -14 + 7t + -1t = 10 + t + -1t Combine like terms: 7t + -1t = 6t -14 + 6t = 10 + t + -1t Combine like terms: t + -1t = 0 -14 + 6t = 10 + 0 -14 + 6t = 10 Add '14' to each side of the equation. -14 + 14 + 6t = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 6t = 10 + 14 6t = 10 + 14 Combine like terms: 10 + 14 = 24 6t = 24 Divide each side by '6'. t = 4 Simplifying t = 4
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