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Simplifying -6(2t + 2) + 4(t + -7) = 0 Reorder the terms: -6(2 + 2t) + 4(t + -7) = 0 (2 * -6 + 2t * -6) + 4(t + -7) = 0 (-12 + -12t) + 4(t + -7) = 0 Reorder the terms: -12 + -12t + 4(-7 + t) = 0 -12 + -12t + (-7 * 4 + t * 4) = 0 -12 + -12t + (-28 + 4t) = 0 Reorder the terms: -12 + -28 + -12t + 4t = 0 Combine like terms: -12 + -28 = -40 -40 + -12t + 4t = 0 Combine like terms: -12t + 4t = -8t -40 + -8t = 0 Solving -40 + -8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -8t = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -8t = 0 + 40 -8t = 0 + 40 Combine like terms: 0 + 40 = 40 -8t = 40 Divide each side by '-8'. t = -5 Simplifying t = -5
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