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Simplifying 7(3 + -6) = 6(4 + t) Combine like terms: 3 + -6 = -3 7(-3) = 6(4 + t) Multiply 7 * -3 -21 = 6(4 + t) -21 = (4 * 6 + t * 6) -21 = (24 + 6t) Solving -21 = 24 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -21 + -6t = 24 + 6t + -6t Combine like terms: 6t + -6t = 0 -21 + -6t = 24 + 0 -21 + -6t = 24 Add '21' to each side of the equation. -21 + 21 + -6t = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -6t = 24 + 21 -6t = 24 + 21 Combine like terms: 24 + 21 = 45 -6t = 45 Divide each side by '-6'. t = -7.5 Simplifying t = -7.5
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