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Simplifying 7(t + -5) = t + 13 Reorder the terms: 7(-5 + t) = t + 13 (-5 * 7 + t * 7) = t + 13 (-35 + 7t) = t + 13 Reorder the terms: -35 + 7t = 13 + t Solving -35 + 7t = 13 + 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. -35 + 7t + -1t = 13 + t + -1t Combine like terms: 7t + -1t = 6t -35 + 6t = 13 + t + -1t Combine like terms: t + -1t = 0 -35 + 6t = 13 + 0 -35 + 6t = 13 Add '35' to each side of the equation. -35 + 35 + 6t = 13 + 35 Combine like terms: -35 + 35 = 0 0 + 6t = 13 + 35 6t = 13 + 35 Combine like terms: 13 + 35 = 48 6t = 48 Divide each side by '6'. t = 8 Simplifying t = 8
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