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Simplifying -7(3 + t) = 4(t + 6) (3 * -7 + t * -7) = 4(t + 6) (-21 + -7t) = 4(t + 6) Reorder the terms: -21 + -7t = 4(6 + t) -21 + -7t = (6 * 4 + t * 4) -21 + -7t = (24 + 4t) Solving -21 + -7t = 24 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -21 + -7t + -4t = 24 + 4t + -4t Combine like terms: -7t + -4t = -11t -21 + -11t = 24 + 4t + -4t Combine like terms: 4t + -4t = 0 -21 + -11t = 24 + 0 -21 + -11t = 24 Add '21' to each side of the equation. -21 + 21 + -11t = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -11t = 24 + 21 -11t = 24 + 21 Combine like terms: 24 + 21 = 45 -11t = 45 Divide each side by '-11'. t = -4.090909091 Simplifying t = -4.090909091
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