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Simplifying 5 + 6(t + -6) = (t + 7) + 3 Reorder the terms: 5 + 6(-6 + t) = (t + 7) + 3 5 + (-6 * 6 + t * 6) = (t + 7) + 3 5 + (-36 + 6t) = (t + 7) + 3 Combine like terms: 5 + -36 = -31 -31 + 6t = (t + 7) + 3 Reorder the terms: -31 + 6t = (7 + t) + 3 Remove parenthesis around (7 + t) -31 + 6t = 7 + t + 3 Reorder the terms: -31 + 6t = 7 + 3 + t Combine like terms: 7 + 3 = 10 -31 + 6t = 10 + t Solving -31 + 6t = 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. -31 + 6t + -1t = 10 + t + -1t Combine like terms: 6t + -1t = 5t -31 + 5t = 10 + t + -1t Combine like terms: t + -1t = 0 -31 + 5t = 10 + 0 -31 + 5t = 10 Add '31' to each side of the equation. -31 + 31 + 5t = 10 + 31 Combine like terms: -31 + 31 = 0 0 + 5t = 10 + 31 5t = 10 + 31 Combine like terms: 10 + 31 = 41 5t = 41 Divide each side by '5'. t = 8.2 Simplifying t = 8.2
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